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5x+40=15x-24
Multiply both sides of the equation by 3.
5x+40-15x=-24
Subtract 15x from both sides.
-10x+40=-24
Combine 5x and -15x to get -10x.
-10x=-24-40
Subtract 40 from both sides.
-10x=-64
Subtract 40 from -24 to get -64.
x=\frac{-64}{-10}
Divide both sides by -10.
x=\frac{32}{5}
Reduce the fraction \frac{-64}{-10} to lowest terms by extracting and canceling out -2.