Solve -x/8-2x=x-12/4-3/2+x/8

$$- \frac { x } { 8 } - 2 x = \frac { x - 12 } { 4 } - \frac { 3 } { 2 } + \frac { x } { 8 }$$

Solve for x

$$x = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,4,2.

$$-x-16x=2\left(x-12\right)-12+x$$

Use the distributive property to multiply 2 by x-12.

$$-x-16x=2x-24-12+x$$

Subtract 12 from -24 to get -36.

$$-x-16x=2x-36+x$$

Combine 2x and x to get 3x.

$$-x-16x=3x-36$$

Subtract 3x from both sides.

$$-x-16x-3x=-36$$

Combine -16x and -3x to get -19x.

$$-x-19x=-36$$

Combine -x and -19x to get -20x.

$$-20x=-36$$

Divide both sides by -20.

$$x=\frac{-36}{-20}$$

Reduce the fraction \frac{-36}{-20} to lowest terms by extracting and canceling out -4.

$$x=\frac{9}{5}$$