Solve for x
x=-7
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Linear Equation
\frac { x } { 2 x + 2 } = \frac { - 3 x } { 6 x + 6 } + \frac { 2 x + 7 } { x + 1 }
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3x=-3x+6\left(2x+7\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 6\left(x+1\right), the least common multiple of 2x+2,6x+6,x+1.
3x=-3x+12x+42
Use the distributive property to multiply 6 by 2x+7.
3x=9x+42
Combine -3x and 12x to get 9x.
3x-9x=42
Subtract 9x from both sides.
-6x=42
Combine 3x and -9x to get -6x.
x=\frac{42}{-6}
Divide both sides by -6.
x=-7
Divide 42 by -6 to get -7.
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