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3\times 4x-15x=x-100
Multiply both sides of the equation by 15, the least common multiple of 5,15,3.
12x-15x=x-100
Multiply 3 and 4 to get 12.
-3x=x-100
Combine 12x and -15x to get -3x.
-3x-x=-100
Subtract x from both sides.
-4x=-100
Combine -3x and -x to get -4x.
x=\frac{-100}{-4}
Divide both sides by -4.
x=25
Divide -100 by -4 to get 25.