Solve for x
x=2
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2\left(x+1\right)\times 5=6x+6x+6
Variable x cannot be equal to any of the values -1,0 since division by zero is not defined. Multiply both sides of the equation by 6x\left(x+1\right), the least common multiple of 6x,x+1,x.
10\left(x+1\right)=6x+6x+6
Multiply 2 and 5 to get 10.
10x+10=6x+6x+6
Use the distributive property to multiply 10 by x+1.
10x+10=12x+6
Combine 6x and 6x to get 12x.
10x+10-12x=6
Subtract 12x from both sides.
-2x+10=6
Combine 10x and -12x to get -2x.
-2x=6-10
Subtract 10 from both sides.
-2x=-4
Subtract 10 from 6 to get -4.
x=\frac{-4}{-2}
Divide both sides by -2.
x=2
Divide -4 by -2 to get 2.
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