Solve x-3/3+x+1/2=-x/6

$$\frac { x - 3 } { 3 } + \frac { x + 1 } { 2 } = \frac { - x } { 6 }$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by x-3.

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

Use the distributive property to multiply 3 by x+1.

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

Combine 2x and 3x to get 5x.

$$5x-6+3=-x$$

Add -6 and 3 to get -3.

$$5x-3=-x$$

Add x to both sides.

$$5x-3+x=0$$

Combine 5x and x to get 6x.

$$6x-3=0$$

Add 3 to both sides. Anything plus zero gives itself.

$$6x=3$$

Divide both sides by 6.

$$x=\frac{3}{6}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{1}{2}$$