Solve for x
x = -\frac{3}{2} = -1\frac{1}{2} = -1.5
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\left(2x+2\right)\times 15=8x-3
Variable x cannot be equal to any of the values -1,\frac{3}{8} since division by zero is not defined. Multiply both sides of the equation by 2\left(8x-3\right)\left(x+1\right), the least common multiple of 8x-3,2+2x.
30x+30=8x-3
Use the distributive property to multiply 2x+2 by 15.
30x+30-8x=-3
Subtract 8x from both sides.
22x+30=-3
Combine 30x and -8x to get 22x.
22x=-3-30
Subtract 30 from both sides.
22x=-33
Subtract 30 from -3 to get -33.
x=\frac{-33}{22}
Divide both sides by 22.
x=-\frac{3}{2}
Reduce the fraction \frac{-33}{22} to lowest terms by extracting and canceling out 11.
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