Solve for x
x=62
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\left(x-8\right)\times 8=\left(x+10\right)\times 6
Variable x cannot be equal to any of the values -10,8 since division by zero is not defined. Multiply both sides of the equation by \left(x-8\right)\left(x+10\right), the least common multiple of x+10,x-8.
8x-64=\left(x+10\right)\times 6
Use the distributive property to multiply x-8 by 8.
8x-64=6x+60
Use the distributive property to multiply x+10 by 6.
8x-64-6x=60
Subtract 6x from both sides.
2x-64=60
Combine 8x and -6x to get 2x.
2x=60+64
Add 64 to both sides.
2x=124
Add 60 and 64 to get 124.
x=\frac{124}{2}
Divide both sides by 2.
x=62
Divide 124 by 2 to get 62.
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