Solve for x
x=\frac{1}{2}=0.5
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2\left(6-\frac{x}{2}\right)+8x=16-x
Multiply both sides of the equation by 4, the least common multiple of 2,4.
12+2\left(-\frac{x}{2}\right)+8x=16-x
Use the distributive property to multiply 2 by 6-\frac{x}{2}.
12+\frac{-2x}{2}+8x=16-x
Express 2\left(-\frac{x}{2}\right) as a single fraction.
12-x+8x=16-x
Cancel out 2 and 2.
12+7x=16-x
Combine -x and 8x to get 7x.
12+7x+x=16
Add x to both sides.
12+8x=16
Combine 7x and x to get 8x.
8x=16-12
Subtract 12 from both sides.
8x=4
Subtract 12 from 16 to get 4.
x=\frac{4}{8}
Divide both sides by 8.
x=\frac{1}{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
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