Solve 4-x-9/8=x/22-1/2

$$4 - \frac { x - 9 } { 8 } = \frac { x } { 22 } - \frac { 1 } { 2 }$$

Solve for x

$$x=33$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 88, the least common multiple of 8,22,2.

$$352-11\left(x-9\right)=4x-44$$

Use the distributive property to multiply -11 by x-9.

$$352-11x+99=4x-44$$

Add 352 and 99 to get 451.

$$451-11x=4x-44$$

Subtract 4x from both sides.

$$451-11x-4x=-44$$

Combine -11x and -4x to get -15x.

$$451-15x=-44$$

Subtract 451 from both sides.

$$-15x=-44-451$$

Subtract 451 from -44 to get -495.

$$-15x=-495$$

Divide both sides by -15.

$$x=\frac{-495}{-15}$$

Divide -495 by -15 to get 33.

$$x=33$$