Solve for x
x=2
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6\left(x+1\right)=\left(x+4\right)\times 3
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+4\right), the least common multiple of x+4,6.
6x+6=\left(x+4\right)\times 3
Use the distributive property to multiply 6 by x+1.
6x+6=3x+12
Use the distributive property to multiply x+4 by 3.
6x+6-3x=12
Subtract 3x from both sides.
3x+6=12
Combine 6x and -3x to get 3x.
3x=12-6
Subtract 6 from both sides.
3x=6
Subtract 6 from 12 to get 6.
x=\frac{6}{3}
Divide both sides by 3.
x=2
Divide 6 by 3 to get 2.
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