Solve for x
x=-28
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x\times 6=\left(x+7\right)\times 8
Variable x cannot be equal to any of the values -7,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+7\right), the least common multiple of x+7,x.
x\times 6=8x+56
Use the distributive property to multiply x+7 by 8.
x\times 6-8x=56
Subtract 8x from both sides.
-2x=56
Combine x\times 6 and -8x to get -2x.
x=\frac{56}{-2}
Divide both sides by -2.
x=-28
Divide 56 by -2 to get -28.
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