Solve 1-x/3=a

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

Solve for a

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

Solution Steps

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

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

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

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

Solve for x

$$x=1-3a$$

Steps for Solving Linear Equation

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

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

Subtract \frac{1}{3} from both sides.

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

Multiply both sides by -3.

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

Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.

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

Divide a-\frac{1}{3} by -\frac{1}{3} by multiplying a-\frac{1}{3} by the reciprocal of -\frac{1}{3}.

$$x=1-3a$$