Solve for x
x=6
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x\times 6=\left(x+6\right)\times 3
Variable x cannot be equal to any of the values -6,0 since division by zero is not defined. Multiply both sides of the equation by x\left(x+6\right), the least common multiple of 6+x,x.
x\times 6=3x+18
Use the distributive property to multiply x+6 by 3.
x\times 6-3x=18
Subtract 3x from both sides.
3x=18
Combine x\times 6 and -3x to get 3x.
x=\frac{18}{3}
Divide both sides by 3.
x=6
Divide 18 by 3 to get 6.
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