Solve for x
x=4
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4\left(2x-2\right)=\left(x-3\right)\times 24
Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 4\left(x-3\right), the least common multiple of x-3,4.
8x-8=\left(x-3\right)\times 24
Use the distributive property to multiply 4 by 2x-2.
8x-8=24x-72
Use the distributive property to multiply x-3 by 24.
8x-8-24x=-72
Subtract 24x from both sides.
-16x-8=-72
Combine 8x and -24x to get -16x.
-16x=-72+8
Add 8 to both sides.
-16x=-64
Add -72 and 8 to get -64.
x=\frac{-64}{-16}
Divide both sides by -16.
x=4
Divide -64 by -16 to get 4.
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