Solve for x
x = \frac{7}{2} = 3\frac{1}{2} = 3.5
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5x=7\left(6-x\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
5x=42-7x
Use the distributive property to multiply 7 by 6-x.
5x+7x=42
Add 7x to both sides.
12x=42
Combine 5x and 7x to get 12x.
x=\frac{42}{12}
Divide both sides by 12.
x=\frac{7}{2}
Reduce the fraction \frac{42}{12} to lowest terms by extracting and canceling out 6.
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