Solve for x
x=0
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\left(x-2\right)\times 8=\left(x-4\right)\times 4
Variable x cannot be equal to any of the values 2,4 since division by zero is not defined. Multiply both sides of the equation by \left(x-4\right)\left(x-2\right), the least common multiple of x-4,x-2.
8x-16=\left(x-4\right)\times 4
Use the distributive property to multiply x-2 by 8.
8x-16=4x-16
Use the distributive property to multiply x-4 by 4.
8x-16-4x=-16
Subtract 4x from both sides.
4x-16=-16
Combine 8x and -4x to get 4x.
4x=-16+16
Add 16 to both sides.
4x=0
Add -16 and 16 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 4 is not equal to 0, x must be equal to 0.
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