Solve x=x/4+a

$$x = \frac { x } { 4 } + a$$

Solve for a

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

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{4}+a=x$$

Subtract \frac{x}{4} from both sides.

$$a=x-\frac{x}{4}$$

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

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

Solve for x

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

Steps for Solving Linear Equation

Subtract \frac{x}{4} from both sides.

$$x-\frac{x}{4}=a$$

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

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

Divide both sides of the equation by \frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{3}{4} undoes the multiplication by \frac{3}{4}.

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

Divide a by \frac{3}{4} by multiplying a by the reciprocal of \frac{3}{4}.

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