Solve for x
x=0
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\left(x-8\right)\times 63=-\left(8+x\right)\times 63
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.
63x-504=-\left(8+x\right)\times 63
Use the distributive property to multiply x-8 by 63.
63x-504=-63\left(8+x\right)
Multiply -1 and 63 to get -63.
63x-504=-504-63x
Use the distributive property to multiply -63 by 8+x.
63x-504+63x=-504
Add 63x to both sides.
126x-504=-504
Combine 63x and 63x to get 126x.
126x=-504+504
Add 504 to both sides.
126x=0
Add -504 and 504 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 126 is not equal to 0, x must be equal to 0.
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