Equations with Variables on Both Sides
Subtract an x term from both sides so x appears on one side only. Then solve as a two-step equation.
Last updated
Solve for x.
12 problems
- 1.8x = 6x + 24Answerx=12
Move 6×x to the other side
2×x=24Move 2 to the other side
x=12
- 2.
- 3.8x + 5 = 6x + 19Answer7=x
Move 8×x to the other side
5=−2×x+19Move 19 to the other side
−14=−2×xMove −2 to the other side
7=x
- 4.5x − 5 = 2x + 10Answer5=x
Move 5×x to the other side
−5=−3×x+10Move 10 to the other side
−15=−3×xMove −3 to the other side
5=x
- 5.34 − 7x = 2x + 25Answer1=x
Move −7×x to the other side
34=9×x+25Move 25 to the other side
9=9×xMove 9 to the other side
1=x
- 6.7(x − 2) = 6x − 3Answerx=11
Expand
7×x−14=6×x−3Move 6×x to the other side
x−14=−3Move −14 to the other side
x=11
- 7.8x + 7 = 3x + 27Answer4=x
Move 8×x to the other side
7=−5×x+27Move 27 to the other side
−20=−5×xMove −5 to the other side
4=x
- 8.7x − 6 = 2x + 19Answer5=x
Move 7×x to the other side
−6=−5×x+19Move 19 to the other side
−25=−5×xMove −5 to the other side
5=x
- 9.35 − 5x = 8x + 9Answer2=x
Move −5×x to the other side
35=13×x+9Move 9 to the other side
26=13×xMove 13 to the other side
2=x
- 10.2(x − 2) = 3x − 6Answer2=x
Expand
2×x−4=3×x−6Move 2×x to the other side
−4=x−6Move −6 to the other side
2=x
- 11.2(8x − 1) = 9x + 5Answerx=1
Move 9×x to the other side
2×(8×x−1)−9×x=5Expand
16×x−2−9×x=5Move 5 to the other side
7×x−7=0Move −7 to the other side
7×x=7Move 7 to the other side
x=1
- 12.6(3x − 1) = 16x + 6Answerx=6
Move 16×x to the other side
6×(3×x−1)−16×x=6Expand
18×x−6−16×x=6Move 6 to the other side
2×x−12=0Move −12 to the other side
2×x=12Move 2 to the other side
x=6
For 8x + 5 = 6x + 19, subtract 6x from both sides: 2x + 5 = 19, so x = 7.
Common questions
- Which side should x go on?
- Either works. Moving the smaller x term avoids a negative number in front of x.
- What if the x terms cancel?
- If what is left is true, like 5 = 5, every number is a solution. If it is false, there is no solution.
