Solve x-8=x/2-(x-6)/3

$$x - 8 = \frac { x } { 2 } - \frac { ( x - 6 ) } { 3 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

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

$$6x-48=3x-2\left(x-6\right)$$

Use the distributive property to multiply -2 by x-6.

$$6x-48=3x-2x+12$$

Combine 3x and -2x to get x.

$$6x-48=x+12$$

Subtract x from both sides.

$$6x-48-x=12$$

Combine 6x and -x to get 5x.

$$5x-48=12$$

Add 48 to both sides.

$$5x=12+48$$

Add 12 and 48 to get 60.

$$5x=60$$

Divide both sides by 5.

$$x=\frac{60}{5}$$

Divide 60 by 5 to get 12.

$$x=12$$