Solve for x
x=-30
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2x=\left(x-2\right)\times 8-\left(x+2\right)\times 7
Variable x cannot be equal to any of the values -2,2 since division by zero is not defined. Multiply both sides of the equation by \left(x-2\right)\left(x+2\right), the least common multiple of x^{2}-4,x+2,x-2.
2x=8x-16-\left(x+2\right)\times 7
Use the distributive property to multiply x-2 by 8.
2x=8x-16-\left(7x+14\right)
Use the distributive property to multiply x+2 by 7.
2x=8x-16-7x-14
To find the opposite of 7x+14, find the opposite of each term.
2x=x-16-14
Combine 8x and -7x to get x.
2x=x-30
Subtract 14 from -16 to get -30.
2x-x=-30
Subtract x from both sides.
x=-30
Combine 2x and -x to get x.
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