Multi-step equations worksheet with 15 problems for algebra practice.

Let's solve each of these multi-step equations one by one, step-by-step. I'll show the full process and explanation for each.

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1. $-6x + 14 = 26$

Step 1: Subtract 14 from both sides
$$
-6x = 26 - 14 = 12
$$

Step 2: Divide both sides by -6
$$
x = \frac{12}{-6} = -2
$$

✔ Answer: $x = -2$

---

2. $3.5(8x - 6) = 21$

Step 1: Distribute 3.5
$$
3.5 \cdot 8x = 28x,\quad 3.5 \cdot (-6) = -21
\Rightarrow 28x - 21 = 21
$$

Step 2: Add 21 to both sides
$$
28x = 42
$$

Step 3: Divide by 28
$$
x = \frac{42}{28} = \frac{3}{2} = 1.5
$$

✔ Answer: $x = 1.5$ or $\frac{3}{2}$

---

3. $6x + 5x - 8 + 2 = 5$

Step 1: Combine like terms
$$
(6x + 5x) + (-8 + 2) = 11x - 6 = 5
$$

Step 2: Add 6 to both sides
$$
11x = 11
$$

Step 3: Divide by 11
$$
x = 1
$$

✔ Answer: $x = 1$

---

4. $7x - 6 + 3x = 4x + 6$

Step 1: Combine like terms on left
$$
(7x + 3x) - 6 = 10x - 6
\Rightarrow 10x - 6 = 4x + 6
$$

Step 2: Subtract $4x$ from both sides
$$
6x - 6 = 6
$$

Step 3: Add 6 to both sides
$$
6x = 12
$$

Step 4: Divide by 6
$$
x = 2
$$

✔ Answer: $x = 2$

---

5. $0.5(-6x + 8) - 2x = 3x + 10$

Step 1: Distribute 0.5
$$
0.5 \cdot (-6x) = -3x,\quad 0.5 \cdot 8 = 4
\Rightarrow -3x + 4 - 2x = 3x + 10
$$

Step 2: Combine like terms on left
$$
-5x + 4 = 3x + 10
$$

Step 3: Subtract $3x$ from both sides
$$
-8x + 4 = 10
$$

Step 4: Subtract 4
$$
-8x = 6
$$

Step 5: Divide by -8
$$
x = -\frac{6}{8} = -\frac{3}{4}
$$

✔ Answer: $x = -\frac{3}{4}$

---

6. $6x + 4 = 9x - 5$

Step 1: Subtract $6x$ from both sides
$$
4 = 3x - 5
$$

Step 2: Add 5 to both sides
$$
9 = 3x
$$

Step 3: Divide by 3
$$
x = 3
$$

✔ Answer: $x = 3$

---

7. $6.5 - 3x - 7 = 7x + 6.5 + 3$

Step 1: Simplify both sides
Left: $6.5 - 7 = -0.5$, so: $-3x - 0.5$
Right: $6.5 + 3 = 9.5$, so: $7x + 9.5$

Equation:
$$
-3x - 0.5 = 7x + 9.5
$$

Step 2: Add $3x$ to both sides
$$
-0.5 = 10x + 9.5
$$

Step 3: Subtract 9.5
$$
-10 = 10x
$$

Step 4: Divide by 10
$$
x = -1
$$

✔ Answer: $x = -1$

---

8. $5x + 18 = 12x + 4$

Step 1: Subtract $5x$ from both sides
$$
18 = 7x + 4
$$

Step 2: Subtract 4
$$
14 = 7x
$$

Step 3: Divide by 7
$$
x = 2
$$

✔ Answer: $x = 2$

---

9. $\frac{2}{5}(16 - 4x) = 12x + 3$

Step 1: Distribute $\frac{2}{5}$
$$
\frac{2}{5} \cdot 16 = \frac{32}{5},\quad \frac{2}{5} \cdot (-4x) = -\frac{8}{5}x
\Rightarrow \frac{32}{5} - \frac{8}{5}x = 12x + 3
$$

Step 2: Eliminate fractions by multiplying every term by 5
$$
5 \cdot \left(\frac{32}{5} - \frac{8}{5}x\right) = 5 \cdot (12x + 3)
\Rightarrow 32 - 8x = 60x + 15
$$

Step 3: Add $8x$ to both sides
$$
32 = 68x + 15
$$

Step 4: Subtract 15
$$
17 = 68x
$$

Step 5: Divide by 68
$$
x = \frac{17}{68} = \frac{1}{4}
$$

✔ Answer: $x = \frac{1}{4}$

---

10. $2x - 7 - 8x + 4 = 8 - 5x$

Step 1: Combine like terms on left
$$
(2x - 8x) + (-7 + 4) = -6x - 3
\Rightarrow -6x - 3 = 8 - 5x
$$

Step 2: Add $6x$ to both sides
$$
-3 = 8 + x
$$

Step 3: Subtract 8
$$
-11 = x
$$

✔ Answer: $x = -11$

---

11. $20 + 4x - 3 + x = 2$

Step 1: Combine like terms
$$
(20 - 3) + (4x + x) = 17 + 5x = 2
$$

Step 2: Subtract 17
$$
5x = -15
$$

Step 3: Divide by 5
$$
x = -3
$$

✔ Answer: $x = -3$

---

12. $\frac{2}{5}x + 7 - \frac{3}{5}x = 12$

Step 1: Combine like terms
$$
\left(\frac{2}{5}x - \frac{3}{5}x\right) + 7 = -\frac{1}{5}x + 7 = 12
$$

Step 2: Subtract 7
$$
-\frac{1}{5}x = 5
$$

Step 3: Multiply both sides by -5
$$
x = -25
$$

✔ Answer: $x = -25$

---

13. $2.4 - 3x + 5.7 - 7x = 14x - 4x + 5.7$

Step 1: Combine like terms on both sides
Left: $(2.4 + 5.7) + (-3x - 7x) = 8.1 - 10x$
Right: $(14x - 4x) + 5.7 = 10x + 5.7$

So:
$$
8.1 - 10x = 10x + 5.7
$$

Step 2: Add $10x$ to both sides
$$
8.1 = 20x + 5.7
$$

Step 3: Subtract 5.7
$$
2.4 = 20x
$$

Step 4: Divide by 20
$$
x = \frac{2.4}{20} = 0.12
$$

✔ Answer: $x = 0.12$

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14. $2x + 8x - 4x = -24 + 36$

Step 1: Combine like terms
Left: $2x + 8x - 4x = 6x$
Right: $-24 + 36 = 12$

So:
$$
6x = 12
$$

Step 2: Divide by 6
$$
x = 2
$$

✔ Answer: $x = 2$

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | $x = -2$ |
| 2 | $x = 1.5$ or $\frac{3}{2}$ |
| 3 | $x = 1$ |
| 4 | $x = 2$ |
| 5 | $x = -\frac{3}{4}$ |
| 6 | $x = 3$ |
| 7 | $x = -1$ |
| 8 | $x = 2$ |
| 9 | $x = \frac{1}{4}$ |
| 10 | $x = -11$ |
| 11 | $x = -3$ |
| 12 | $x = -25$ |
| 13 | $x = 0.12$ |
| 14 | $x = 2$ |

> ⚠️ Note: You mentioned there are 15 questions, but only 14 are visible in the image. If you have a 15th equation, please provide it!

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