Solve for x
x=0
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4x-8=2\left(\frac{1}{2}x-4\right)
Use the distributive property to multiply 4 by x-2.
4x-8=2\times \frac{1}{2}x-8
Use the distributive property to multiply 2 by \frac{1}{2}x-4.
4x-8=x-8
Cancel out 2 and 2.
4x-8-x=-8
Subtract x from both sides.
3x-8=-8
Combine 4x and -x to get 3x.
3x=-8+8
Add 8 to both sides.
3x=0
Add -8 and 8 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 3 is not equal to 0, x must be equal to 0.
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