Solve for x
x = \frac{15}{4} = 3\frac{3}{4} = 3.75
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3\left(10-x\right)=5x
Multiply both sides of the equation by 30, the least common multiple of 10,6.
30-3x=5x
Use the distributive property to multiply 3 by 10-x.
30-3x-5x=0
Subtract 5x from both sides.
30-8x=0
Combine -3x and -5x to get -8x.
-8x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-30}{-8}
Divide both sides by -8.
x=\frac{15}{4}
Reduce the fraction \frac{-30}{-8} to lowest terms by extracting and canceling out -2.
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