Solve for x
x=4
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4x+\frac{1}{2}\times 2x+\frac{1}{2}\left(-4\right)=18
Use the distributive property to multiply \frac{1}{2} by 2x-4.
4x+x+\frac{1}{2}\left(-4\right)=18
Cancel out 2 and 2.
4x+x+\frac{-4}{2}=18
Multiply \frac{1}{2} and -4 to get \frac{-4}{2}.
4x+x-2=18
Divide -4 by 2 to get -2.
5x-2=18
Combine 4x and x to get 5x.
5x=18+2
Add 2 to both sides.
5x=20
Add 18 and 2 to get 20.
x=\frac{20}{5}
Divide both sides by 5.
x=4
Divide 20 by 5 to get 4.
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