Solve for x
x=-\frac{1}{3}\approx -0.333333333
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\left(x-2\right)\left(-4\right)=\left(x+5\right)\times 2
Variable x cannot be equal to any of the values -5,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+5\right), the least common multiple of x+5,x-2.
-4x+8=\left(x+5\right)\times 2
Use the distributive property to multiply x-2 by -4.
-4x+8=2x+10
Use the distributive property to multiply x+5 by 2.
-4x+8-2x=10
Subtract 2x from both sides.
-6x+8=10
Combine -4x and -2x to get -6x.
-6x=10-8
Subtract 8 from both sides.
-6x=2
Subtract 8 from 10 to get 2.
x=\frac{2}{-6}
Divide both sides by -6.
x=-\frac{1}{3}
Reduce the fraction \frac{2}{-6} to lowest terms by extracting and canceling out 2.
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