Solve for x
x=-3
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1x\times 5=\left(x-2\right)\times 3
Variable x cannot be equal to any of the values 0,2 since division by zero is not defined. Multiply both sides of the equation by x\left(x-2\right), the least common multiple of x-2,x.
5x=\left(x-2\right)\times 3
Multiply 1 and 5 to get 5.
5x=3x-6
Use the distributive property to multiply x-2 by 3.
5x-3x=-6
Subtract 3x from both sides.
2x=-6
Combine 5x and -3x to get 2x.
x=\frac{-6}{2}
Divide both sides by 2.
x=-3
Divide -6 by 2 to get -3.
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