Solve for x
x=10
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8\times 2=\left(x-6\right)\times 4
Variable x cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by 8\left(x-6\right), the least common multiple of x-6,8.
16=\left(x-6\right)\times 4
Multiply 8 and 2 to get 16.
16=4x-24
Use the distributive property to multiply x-6 by 4.
4x-24=16
Swap sides so that all variable terms are on the left hand side.
4x=16+24
Add 24 to both sides.
4x=40
Add 16 and 24 to get 40.
x=\frac{40}{4}
Divide both sides by 4.
x=10
Divide 40 by 4 to get 10.
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