Solve for x
x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667
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\left(2x-2\right)\times 2=\left(5x+3\right)\times 2
Variable x cannot be equal to any of the values -\frac{3}{5},1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right)\left(5x+3\right), the least common multiple of 5x+3,2x-2.
4x-4=\left(5x+3\right)\times 2
Use the distributive property to multiply 2x-2 by 2.
4x-4=10x+6
Use the distributive property to multiply 5x+3 by 2.
4x-4-10x=6
Subtract 10x from both sides.
-6x-4=6
Combine 4x and -10x to get -6x.
-6x=6+4
Add 4 to both sides.
-6x=10
Add 6 and 4 to get 10.
x=\frac{10}{-6}
Divide both sides by -6.
x=-\frac{5}{3}
Reduce the fraction \frac{10}{-6} to lowest terms by extracting and canceling out 2.
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