Multi-Step Equations Practice
Tidy each side first: distribute, combine like terms, clear fractions. Then it is a two-step equation.
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Solve for x.
12 problems
- 1.7x + 2 − 5x = 36Answerx=17
Move 2 to the other side
2×x=34Move 2 to the other side
x=17
- 2.
- 3.
- 4.x/2 + 9 = 14Answerx=10
Multiply by the common denominator
x+18=28Move 18 to the other side
x=10
- 5.
- 6.7x + 8 − 3x = 36Answerx=7
Move 8 to the other side
4×x=28Move 4 to the other side
x=7
- 7.
- 8.
- 9.7x/2 − 1 = 6Answerx=2
Multiply by the common denominator
7×x−2=12Move −2 to the other side
7×x=14Move 7 to the other side
x=2
- 10.7(x + 2) + 16x = 37Answerx=1
Expand
7×x+14+16×x=37Move 37 to the other side
23×x−23=0Move −23 to the other side
23×x=23Move 23 to the other side
x=1
- 11.9(x − 1) + 7x = 23Answerx=2
Expand
9×x−9+7×x=23Move 23 to the other side
16×x−32=0Move −32 to the other side
16×x=32Move 16 to the other side
x=2
- 12.8(x + 2) + 9x = 33Answerx=1
Expand
8×x+16+9×x=33Move 33 to the other side
17×x−17=0Move −17 to the other side
17×x=17Move 17 to the other side
x=1
For 2(x + 6) = 14, multiply out the brackets to get 2x + 12 = 14, then solve as usual.
Common questions
- How do you solve a multi-step equation?
- Simplify each side, collect x on one side, then undo the remaining operations.
- What about fractions?
- Multiply both sides by a common denominator first, and the fractions disappear.
