Solve 3x + 7 = 22 Step by Step

Grades 7-8KS3

Problem

Solve for x: 3x + 7 = 22

📝Step-by-Step Solution

Isolate the variable term

Subtract 7 from both sides to move the constant away from x. 3x + 7 − 7 = 22 − 7, so 3x = 15

3x = 15

Solve for x

Divide both sides by 3 to isolate x. 3x ÷ 3 = 15 ÷ 3, so x = 5

x = 5

Check your answer

Substitute x = 5 back into the original equation: 3(5) + 7 = 15 + 7 = 22 ✓

✅Final Answer

x = 5

This is a two-step equation. First, we undo the addition (+7) by subtracting. Then we undo the multiplication (×3) by dividing. Always do the same operation on both sides!

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