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

Here are the step-by-step solutions for each equation on the worksheet.

1. $-6x + 14 = 26$
* Subtract 14 from both sides: $-6x = 12$
* Divide by -6: $x = -2$

2. $3.5(8x - 6) = 21$
* Divide both sides by 3.5: $8x - 6 = 6$
* Add 6 to both sides: $8x = 12$
* Divide by 8: $x = 1.5$ (or $\frac{3}{2}$)

3. $6x + 5x - 8 + 2 = 5$
* Combine like terms ($6x+5x$ and $-8+2$): $11x - 6 = 5$
* Add 6 to both sides: $11x = 11$
* Divide by 11: $x = 1$

4. $7x - 6 + 3x = 4x + 6$
* Combine x terms on the left: $10x - 6 = 4x + 6$
* Subtract $4x$ from both sides: $6x - 6 = 6$
* Add 6 to both sides: $6x = 12$
* Divide by 6: $x = 2$

5. $0.5(-6x + 8) - 2x = 3x + 10$
* Distribute the 0.5: $-3x + 4 - 2x = 3x + 10$
* Combine x terms on the left: $-5x + 4 = 3x + 10$
* Add $5x$ to both sides: $4 = 8x + 10$
* Subtract 10 from both sides: $-6 = 8x$
* Divide by 8: $x = -0.75$ (or $-\frac{3}{4}$)

6. $6x + 4 = 9x - 5$
* Subtract $6x$ from both sides: $4 = 3x - 5$
* Add 5 to both sides: $9 = 3x$
* Divide by 3: $x = 3$

7. $6.5 - 3x - 7 = 7x + 6.5 + 3$
* Simplify constants on both sides: $-3x - 0.5 = 7x + 9.5$
* Add $3x$ to both sides: $-0.5 = 10x + 9.5$
* Subtract 9.5 from both sides: $-10 = 10x$
* Divide by 10: $x = -1$

8. $5x + 18 = 12x + 4$
* Subtract $5x$ from both sides: $18 = 7x + 4$
* Subtract 4 from both sides: $14 = 7x$
* Divide by 7: $x = 2$

9. $\frac{2}{5}(16 - 4x) = 12x + 3$
* Multiply the entire equation by 5 to remove the fraction: $2(16 - 4x) = 5(12x + 3)$
* Distribute: $32 - 8x = 60x + 15$
* Add $8x$ to both sides: $32 = 68x + 15$
* Subtract 15 from both sides: $17 = 68x$
* Divide by 68: $x = \frac{17}{68} = \frac{1}{4}$ (or $0.25$)

10. $2x - 7 - 8x + 4 = 8 - 5x$
* Combine like terms on the left: $-6x - 3 = 8 - 5x$
* Add $6x$ to both sides: $-3 = 8 + x$
* Subtract 8 from both sides: $x = -11$

11. $20 + 4x - 3 + x = 2$
* Combine like terms: $5x + 17 = 2$
* Subtract 17 from both sides: $5x = -15$
* Divide by 5: $x = -3$

12. $\frac{2}{5}x + 7 - \frac{3}{5}x = 12$
* Combine x terms ($\frac{2}{5}x - \frac{3}{5}x = -\frac{1}{5}x$): $-\frac{1}{5}x + 7 = 12$
* Subtract 7 from both sides: $-\frac{1}{5}x = 5$
* Multiply by -5: $x = -25$

13. $2.4 - 3x + 5.7 - 7x = 14x - 4x + 5.7$
* Combine like terms on both sides: $8.1 - 10x = 10x + 5.7$
* Add $10x$ to both sides: $8.1 = 20x + 5.7$
* Subtract 5.7 from both sides: $2.4 = 20x$
* Divide by 20: $x = 0.12$ (or $\frac{3}{25}$)

Final Answer:
1. x = -2
2. x = 1.5
3. x = 1
4. x = 2
5. x = -0.75
6. x = 3
7. x = -1
8. x = 2
9. x = 0.25
10. x = -11
11. x = -3
12. x = -25
13. x = 0.12