Solve for x
x=\frac{7}{12}\approx 0.583333333
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4\left(3x+1\right)=\left(5x-2\right)\times 12
Variable x cannot be equal to \frac{2}{5} since division by zero is not defined. Multiply both sides of the equation by 4\left(5x-2\right), the least common multiple of 5x-2,4.
12x+4=\left(5x-2\right)\times 12
Use the distributive property to multiply 4 by 3x+1.
12x+4=60x-24
Use the distributive property to multiply 5x-2 by 12.
12x+4-60x=-24
Subtract 60x from both sides.
-48x+4=-24
Combine 12x and -60x to get -48x.
-48x=-24-4
Subtract 4 from both sides.
-48x=-28
Subtract 4 from -24 to get -28.
x=\frac{-28}{-48}
Divide both sides by -48.
x=\frac{7}{12}
Reduce the fraction \frac{-28}{-48} to lowest terms by extracting and canceling out -4.
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