Solve for x
x=30
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5\times 2x-120=3\times 2x
Multiply both sides of the equation by 15, the least common multiple of 3,5.
10x-120=3\times 2x
Multiply 5 and 2 to get 10.
10x-120=6x
Multiply 3 and 2 to get 6.
10x-120-6x=0
Subtract 6x from both sides.
4x-120=0
Combine 10x and -6x to get 4x.
4x=120
Add 120 to both sides. Anything plus zero gives itself.
x=\frac{120}{4}
Divide both sides by 4.
x=30
Divide 120 by 4 to get 30.
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