Solve for x
x=8
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\left(x+12\right)\times 3=\left(x+2\right)\times 6
Variable x cannot be equal to any of the values -12,-2 since division by zero is not defined. Multiply both sides of the equation by \left(x+2\right)\left(x+12\right), the least common multiple of x+2,x+12.
3x+36=\left(x+2\right)\times 6
Use the distributive property to multiply x+12 by 3.
3x+36=6x+12
Use the distributive property to multiply x+2 by 6.
3x+36-6x=12
Subtract 6x from both sides.
-3x+36=12
Combine 3x and -6x to get -3x.
-3x=12-36
Subtract 36 from both sides.
-3x=-24
Subtract 36 from 12 to get -24.
x=\frac{-24}{-3}
Divide both sides by -3.
x=8
Divide -24 by -3 to get 8.
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