Mrs.D Math · 7th Grade

EQUATION
QUEST

Solve Two-Step Equations
ax + b = c
ax − b = c
x/a + b = c
+ Positive
− With Negatives
÷ Fraction Form
🎲 Mixed
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📚 Solving Two-Step Equations

The Golden Rule

Whatever you do to one side, do to the other side. Always undo operations in reverse order — addition/subtraction first, then multiplication/division.

1
Undo the addition or subtraction — add or subtract the constant from both sides.
2x + 3 = 11 → subtract 3 → 2x = 8
2
Undo the multiplication or division — divide or multiply both sides.
2x = 8 → divide by 2 → x = 4

Worked Examples

Example 1:   3x − 5 = 16

3x − 5 = 16
→
+5 both sides
3x = 21
→
÷ 3 both sides
→
x = 7

Example 2:   x/4 + 2 = 6

x/4 + 2 = 6
→
−2 both sides
x/4 = 4
→
×4 both sides
→
x = 16

⚠ With Negatives

Example 3:   −3x + 6 = 15

−3x + 6 = 15
→
−6 both sides
−3x = 9
→
÷ −3 both sides
→
x = −3
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QUESTION 1 / 10
TWO-STEP
Step 1
→
Step 2
x =
Enter a whole number (can be negative)
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