Solve 2x-4/3+x+7/12=-9

$$\frac { 2 x - 4 } { 3 } + \frac { x + 7 } { 12 } = - 9$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,12.

$$4\left(2x-4\right)+x+7=-108$$

Use the distributive property to multiply 4 by 2x-4.

$$8x-16+x+7=-108$$

Combine 8x and x to get 9x.

$$9x-16+7=-108$$

Add -16 and 7 to get -9.

$$9x-9=-108$$

Add 9 to both sides.

$$9x=-108+9$$

Add -108 and 9 to get -99.

$$9x=-99$$

Divide both sides by 9.

$$x=\frac{-99}{9}$$

Divide -99 by 9 to get -11.

$$x=-11$$