Solve x/4-x-2/8=x-9/12

$$\frac { x } { 4 } - \frac { x - 2 } { 8 } = \frac { x - 9 } { 12 }$$

Solve for x

$$x=-24$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 4,8,12.

$$6x-3\left(x-2\right)=2\left(x-9\right)$$

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

$$6x-3x+6=2\left(x-9\right)$$

Combine 6x and -3x to get 3x.

$$3x+6=2\left(x-9\right)$$

Use the distributive property to multiply 2 by x-9.

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

Subtract 2x from both sides.

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

Combine 3x and -2x to get x.

$$x+6=-18$$

Subtract 6 from both sides.

$$x=-18-6$$

Subtract 6 from -18 to get -24.

$$x=-24$$