Solve for x
x=92
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\left(x-8\right)\times 7=\left(x+6\right)\times 6
Variable x cannot be equal to any of the values -6,8 since division by zero is not defined. Multiply both sides of the equation by \left(x-8\right)\left(x+6\right), the least common multiple of x+6,x-8.
7x-56=\left(x+6\right)\times 6
Use the distributive property to multiply x-8 by 7.
7x-56=6x+36
Use the distributive property to multiply x+6 by 6.
7x-56-6x=36
Subtract 6x from both sides.
x-56=36
Combine 7x and -6x to get x.
x=36+56
Add 56 to both sides.
x=92
Add 36 and 56 to get 92.
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