Solve for x
x=-2
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\left(x-8\right)\times 18=-\left(8+x\right)\times 30
Variable x cannot be equal to any of the values -8,8 since division by zero is not defined. Multiply both sides of the equation by \left(x-8\right)\left(x+8\right), the least common multiple of 8+x,8-x.
18x-144=-\left(8+x\right)\times 30
Use the distributive property to multiply x-8 by 18.
18x-144=-30\left(8+x\right)
Multiply -1 and 30 to get -30.
18x-144=-240-30x
Use the distributive property to multiply -30 by 8+x.
18x-144+30x=-240
Add 30x to both sides.
48x-144=-240
Combine 18x and 30x to get 48x.
48x=-240+144
Add 144 to both sides.
48x=-96
Add -240 and 144 to get -96.
x=\frac{-96}{48}
Divide both sides by 48.
x=-2
Divide -96 by 48 to get -2.
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