Solve 2x+8/21+x+1/3=-7

$$\frac { 2 x + 8 } { 21 } + \frac { x + 1 } { 3 } = - 7$$

Solve for x

$$x=-18$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 21,3.

$$2x+8+7\left(x+1\right)=-147$$

Use the distributive property to multiply 7 by x+1.

$$2x+8+7x+7=-147$$

Combine 2x and 7x to get 9x.

$$9x+8+7=-147$$

Add 8 and 7 to get 15.

$$9x+15=-147$$

Subtract 15 from both sides.

$$9x=-147-15$$

Subtract 15 from -147 to get -162.

$$9x=-162$$

Divide both sides by 9.

$$x=\frac{-162}{9}$$

Divide -162 by 9 to get -18.

$$x=-18$$