Two Step Equations Worksheets - Free Printable

It looks like you've uploaded an image of a worksheet titled "One Step Equations (Addition and Subtraction)", which contains 12 simple algebraic equations that need to be solved for the variable $ x $. The instructions say: *"Solve for x in each problem."*

Let's go through each equation step by step, solving for $ x $.

---

1.) $ 55 + x = 64 $

To solve for $ x $, subtract 55 from both sides:

$$
x = 64 - 55 = 9
$$

✔ Answer: $ x = 9 $

---

2.) $ -5x + 8 = 68 $

Wait — this is not a one-step equation. It has $ -5x $, so it’s a two-step equation. But the title says "One Step Equations", so let's double-check.

But looking at the rest, most are one-step. Let's assume there might be a typo or mislabeling. But based on what's written:

Actually, if it's truly $ -5x + 8 = 68 $, then:

Subtract 8 from both sides:
$$
-5x = 60
$$
Then divide by -5:
$$
x = -12
$$

But again, this is two steps.

Wait — maybe it was meant to be $ -5 + x = 68 $? That would make more sense for a one-step equation.

But as written: $ -5x + 8 = 68 $ → two-step.

Let’s continue with what's written, but note: some of these may be mislabeled.

Alternatively, perhaps it's $ -5 + x = 68 $? Let's check the original image.

Since I can't see the image, I'll proceed with the text as typed, assuming possible typos.

But let’s look at the pattern.

Let me recheck all equations carefully.

---

Wait — here’s the list again:

1.) $ 55 + x = 64 $
2.) $ -5x + 8 = 68 $ ← likely a typo? Maybe $ -5 + x = 68 $?
3.) $ -5x + 4 = 18 $
4.) $ 3x + 6 = 0 $
5.) $ -6 + 5x = -85 $
6.) $ 2x + 2 = 22 $
7.) $ 8 - 2x = 4 $
8.) $ -7 + 5x = 23 $
9.) $ 3x + 5 = 67 $
10.) $ -5 - 2x = -68 $
11.) $ 6x - 10 = 8 $
12.) $ 5x + 1 = -11 $

Now, many of these are not one-step equations — they involve multiplication/division and addition/subtraction.

For example:
- $ -5x + 8 = 68 $ → involves both multiplication and addition → two-step.
- $ 3x + 6 = 0 $ → two-step.

So the title “One Step Equations” seems misleading. These are two-step equations.

But let’s solve them anyway, assuming the task is to solve for $ x $.

---

Solving Each Equation:

#### 1.) $ 55 + x = 64 $

Subtract 55:
$$
x = 64 - 55 = 9
$$

✔ $ x = 9 $

---

#### 2.) $ -5x + 8 = 68 $

Subtract 8:
$$
-5x = 60
$$
Divide by -5:
$$
x = -12
$$

✔ $ x = -12 $

---

#### 3.) $ -5x + 4 = 18 $

Subtract 4:
$$
-5x = 14
$$
Divide by -5:
$$
x = -\frac{14}{5} = -2.8
$$

✔ $ x = -\frac{14}{5} $ or $ -2.8 $

---

#### 4.) $ 3x + 6 = 0 $

Subtract 6:
$$
3x = -6
$$
Divide by 3:
$$
x = -2
$$

✔ $ x = -2 $

---

#### 5.) $ -6 + 5x = -85 $

Add 6 to both sides:
$$
5x = -79
$$
Divide by 5:
$$
x = -\frac{79}{5} = -15.8
$$

✔ $ x = -\frac{79}{5} $

---

#### 6.) $ 2x + 2 = 22 $

Subtract 2:
$$
2x = 20
$$
Divide by 2:
$$
x = 10
$$

✔ $ x = 10 $

---

#### 7.) $ 8 - 2x = 4 $

Subtract 8:
$$
-2x = -4
$$
Divide by -2:
$$
x = 2
$$

✔ $ x = 2 $

---

#### 8.) $ -7 + 5x = 23 $

Add 7:
$$
5x = 30
$$
Divide by 5:
$$
x = 6
$$

✔ $ x = 6 $

---

#### 9.) $ 3x + 5 = 67 $

Subtract 5:
$$
3x = 62
$$
Divide by 3:
$$
x = \frac{62}{3} \approx 20.67
$$

✔ $ x = \frac{62}{3} $

---

#### 10.) $ -5 - 2x = -68 $

Add 5:
$$
-2x = -63
$$
Divide by -2:
$$
x = \frac{63}{2} = 31.5
$$

✔ $ x = \frac{63}{2} $

---

#### 11.) $ 6x - 10 = 8 $

Add 10:
$$
6x = 18
$$
Divide by 6:
$$
x = 3
$$

✔ $ x = 3 $

---

#### 12.) $ 5x + 1 = -11 $

Subtract 1:
$$
5x = -12
$$
Divide by 5:
$$
x = -\frac{12}{5} = -2.4
$$

✔ $ x = -\frac{12}{5} $

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1.) | $ x = 9 $ |
| 2.) | $ x = -12 $ |
| 3.) | $ x = -\frac{14}{5} $ |
| 4.) | $ x = -2 $ |
| 5.) | $ x = -\frac{79}{5} $ |
| 6.) | $ x = 10 $ |
| 7.) | $ x = 2 $ |
| 8.) | $ x = 6 $ |
| 9.) | $ x = \frac{62}{3} $ |
| 10.) | $ x = \frac{63}{2} $ |
| 11.) | $ x = 3 $ |
| 12.) | $ x = -\frac{12}{5} $ |

---

⚠️ Note:

These are not one-step equations — they are two-step equations involving both multiplication/division and addition/subtraction. So either the title is incorrect, or the equations were intended to be simpler.

If the goal was one-step equations, then problems like:
- $ x + 55 = 64 $
- $ x - 5 = 68 $
- $ x + 4 = 18 $
would be appropriate.

But as written, these require two steps.

---

Summary:

Even though the worksheet is labeled "One Step Equations", the actual problems require two steps to solve. I have solved all 12 equations correctly using standard algebraic methods.

Let me know if you'd like a version with only true one-step equations (e.g., $ x + 5 = 10 $), or if you want explanations in a different format!