Problem
Solve for x: 3x + 7 = 22
📝Step-by-Step Solution
1
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
2
Solve for x
Divide both sides by 3 to isolate x. 3x ÷ 3 = 15 ÷ 3, so x = 5
x = 5
3
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!
Ready to Practice Linear Equations?
Generate a personalized practice test with MathQuizily. Get instant PDF downloads with answer keys.