Solve 3x-7/2+x+1/3=-16

$$\frac { 3 x - 7 } { 2 } + \frac { x + 1 } { 3 } = - 16$$

Solve for x

$$x=-7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3x-7\right)+2\left(x+1\right)=-96$$

Use the distributive property to multiply 3 by 3x-7.

$$9x-21+2\left(x+1\right)=-96$$

Use the distributive property to multiply 2 by x+1.

$$9x-21+2x+2=-96$$

Combine 9x and 2x to get 11x.

$$11x-21+2=-96$$

Add -21 and 2 to get -19.

$$11x-19=-96$$

Add 19 to both sides.

$$11x=-96+19$$

Add -96 and 19 to get -77.

$$11x=-77$$

Divide both sides by 11.

$$x=\frac{-77}{11}$$

Divide -77 by 11 to get -7.

$$x=-7$$