Solve 2x-9/5-x/8=x/20

$$\frac { 2 x - 9 } { 5 } - \frac { x } { 8 } = \frac { x } { 20 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 5,8,20.

$$8\left(2x-9\right)-5x=2x$$

Use the distributive property to multiply 8 by 2x-9.

$$16x-72-5x=2x$$

Combine 16x and -5x to get 11x.

$$11x-72=2x$$

Subtract 2x from both sides.

$$11x-72-2x=0$$

Combine 11x and -2x to get 9x.

$$9x-72=0$$

Add 72 to both sides. Anything plus zero gives itself.

$$9x=72$$

Divide both sides by 9.

$$x=\frac{72}{9}$$

Divide 72 by 9 to get 8.

$$x=8$$