Solve a+3/4=1/4+3/4a

$$a + \frac { 3 } { 4 } = \frac { 1 } { 4 } + \frac { 3 } { 4 } a$$

Solve for a

$$a=-2$$

Steps for Solving Linear Equation

Subtract \frac{3}{4}a from both sides.

$$a+\frac{3}{4}-\frac{3}{4}a=\frac{1}{4}$$

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

$$\frac{1}{4}a+\frac{3}{4}=\frac{1}{4}$$

Subtract \frac{3}{4} from both sides.

$$\frac{1}{4}a=\frac{1}{4}-\frac{3}{4}$$

Since \frac{1}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}a=\frac{1-3}{4}$$

Subtract 3 from 1 to get -2.

$$\frac{1}{4}a=\frac{-2}{4}$$

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

$$\frac{1}{4}a=-\frac{1}{2}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$a=-\frac{1}{2}\times 4$$

Express -\frac{1}{2}\times 4 as a single fraction.

$$a=\frac{-4}{2}$$

Divide -4 by 2 to get -2.

$$a=-2$$