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5x+150=3x+240
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5x+150-3x=240
Subtract 3x from both sides.
2x+150=240
Combine 5x and -3x to get 2x.
2x=240-150
Subtract 150 from both sides.
2x=90
Subtract 150 from 240 to get 90.
x=\frac{90}{2}
Divide both sides by 2.
x=45
Divide 90 by 2 to get 45.