Solve for x
x=0
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\frac{3}{2}\left(2x+2\left(-\frac{1}{2}\right)+\frac{2}{2}\right)=5x
Use the distributive property to multiply 2 by x-\frac{1}{2}.
\frac{3}{2}\left(2x-1+\frac{2}{2}\right)=5x
Cancel out 2 and 2.
\frac{3}{2}\left(2x-1+1\right)=5x
Divide 2 by 2 to get 1.
\frac{3}{2}\times 2x=5x
Add -1 and 1 to get 0.
3x=5x
Cancel out 2 and 2.
3x-5x=0
Subtract 5x from both sides.
-2x=0
Combine 3x and -5x to get -2x.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -2 is not equal to 0, x must be equal to 0.
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