Solve for x
x=10
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\left(x-6\right)\times 6=\left(x-4\right)\times 4
Variable x cannot be equal to any of the values 4,6 since division by zero is not defined. Multiply both sides of the equation by \left(x-6\right)\left(x-4\right), the least common multiple of x-4,x-6.
6x-36=\left(x-4\right)\times 4
Use the distributive property to multiply x-6 by 6.
6x-36=4x-16
Use the distributive property to multiply x-4 by 4.
6x-36-4x=-16
Subtract 4x from both sides.
2x-36=-16
Combine 6x and -4x to get 2x.
2x=-16+36
Add 36 to both sides.
2x=20
Add -16 and 36 to get 20.
x=\frac{20}{2}
Divide both sides by 2.
x=10
Divide 20 by 2 to get 10.
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