Solve x/4x-12-x-4/x-3=1/8

$$\frac { x } { 4 x - 12 } - \frac { x - 4 } { x - 3 } = \frac { 1 } { 8 }$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Variable x cannot be equal to 3 since division by zero is not defined. Multiply both sides of the equation by 8\left(x-3\right), the least common multiple of 4x-12,x-3,8.

$$2x-8\left(x-4\right)=x-3$$

Use the distributive property to multiply -8 by x-4.

$$2x-8x+32=x-3$$

Combine 2x and -8x to get -6x.

$$-6x+32=x-3$$

Subtract x from both sides.

$$-6x+32-x=-3$$

Combine -6x and -x to get -7x.

$$-7x+32=-3$$

Subtract 32 from both sides.

$$-7x=-3-32$$

Subtract 32 from -3 to get -35.

$$-7x=-35$$

Divide both sides by -7.

$$x=\frac{-35}{-7}$$

Divide -35 by -7 to get 5.

$$x=5$$