Solve x=22-8-x/3

$$x = \frac { 22 - 8 - x } { 3 }$$

Solve for x

$$x = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Subtract 8 from 22 to get 14.

$$x=\frac{14-x}{3}$$

Divide each term of 14-x by 3 to get \frac{14}{3}-\frac{1}{3}x.

$$x=\frac{14}{3}-\frac{1}{3}x$$

Add \frac{1}{3}x to both sides.

$$x+\frac{1}{3}x=\frac{14}{3}$$

Combine x and \frac{1}{3}x to get \frac{4}{3}x.

$$\frac{4}{3}x=\frac{14}{3}$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=\frac{14}{3}\times \frac{3}{4}$$

Multiply \frac{14}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{14\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$x=\frac{14}{4}$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{2}$$