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

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

Solve for x

$$x = -\frac{24}{5} = -4\frac{4}{5} = -4.8$$

Steps for Solving Linear Equation

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

$$2x+6=3\left(-x\right)-18$$

Subtract 3\left(-x\right) from both sides.

$$2x+6-3\left(-x\right)=-18$$

Multiply -1 and 3 to get -3.

$$2x+6-3\left(-1\right)x=-18$$

Multiply -3 and -1 to get 3.

$$2x+6+3x=-18$$

Combine 2x and 3x to get 5x.

$$5x+6=-18$$

Subtract 6 from both sides.

$$5x=-18-6$$

Subtract 6 from -18 to get -24.

$$5x=-24$$

Divide both sides by 5.

$$x=\frac{-24}{5}$$

Fraction \frac{-24}{5} can be rewritten as -\frac{24}{5} by extracting the negative sign.

$$x=-\frac{24}{5}$$