Solve x-3/2+x+5/6=x/3

$$\frac { x - 3 } { 2 } + \frac { x + 5 } { 6 } = \frac { x } { 3 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3\left(x-3\right)+x+5=2x$$

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

$$3x-9+x+5=2x$$

Combine 3x and x to get 4x.

$$4x-9+5=2x$$

Add -9 and 5 to get -4.

$$4x-4=2x$$

Subtract 2x from both sides.

$$4x-4-2x=0$$

Combine 4x and -2x to get 2x.

$$2x-4=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$2x=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$