Solve x/8-5/2=13/4x-3/16+frac{1}{2}x-frac{15}{8}-x

$$\frac { x } { 8 } - \frac { 5 } { 2 } = \frac { 13 } { 4 } x - \frac { 3 } { 16 } + \frac { 1 } { 2 } x - \frac { 15 } { 8 } - x$$

Solve for x

$$x=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16, the least common multiple of 8,2,4,16.

$$2x-40=52x-3+8x-30-16x$$

Combine 52x and 8x to get 60x.

$$2x-40=60x-3-30-16x$$

Subtract 30 from -3 to get -33.

$$2x-40=60x-33-16x$$

Combine 60x and -16x to get 44x.

$$2x-40=44x-33$$

Subtract 44x from both sides.

$$2x-40-44x=-33$$

Combine 2x and -44x to get -42x.

$$-42x-40=-33$$

Add 40 to both sides.

$$-42x=-33+40$$

Add -33 and 40 to get 7.

$$-42x=7$$

Divide both sides by -42.

$$x=\frac{7}{-42}$$

Reduce the fraction \frac{7}{-42} to lowest terms by extracting and canceling out 7.

$$x=-\frac{1}{6}$$