Solve 7x/2-x=x/16-3/8

$$\frac { 7 x } { 2 } - x = \frac { x } { 16 } - \frac { 3 } { 8 }$$

Solve for x

$$x=-\frac{2}{13}\approx -0.153846154$$

Steps for Solving Linear Equation

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

$$8\times 7x-16x=x-6$$

Multiply 8 and 7 to get 56.

$$56x-16x=x-6$$

Combine 56x and -16x to get 40x.

$$40x=x-6$$

Subtract x from both sides.

$$40x-x=-6$$

Combine 40x and -x to get 39x.

$$39x=-6$$

Divide both sides by 39.

$$x=\frac{-6}{39}$$

Reduce the fraction \frac{-6}{39} to lowest terms by extracting and canceling out 3.

$$x=-\frac{2}{13}$$