Solve 3/4(2x+1/2)=2

$$\frac { 3 } { 4 } ( 2 x + 1 / 2 ) = 2$$

Solve for x

$$x = \frac{13}{12} = 1\frac{1}{12} \approx 1.083333333$$

Steps for Solving Linear Equation

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

$$2x+\frac{1}{2}=2\times \frac{4}{3}$$

Express 2\times \frac{4}{3} as a single fraction.

$$2x+\frac{1}{2}=\frac{2\times 4}{3}$$

Multiply 2 and 4 to get 8.

$$2x+\frac{1}{2}=\frac{8}{3}$$

Subtract \frac{1}{2} from both sides.

$$2x=\frac{8}{3}-\frac{1}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{8}{3} and \frac{1}{2} to fractions with denominator 6.

$$2x=\frac{16}{6}-\frac{3}{6}$$

Since \frac{16}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{16-3}{6}$$

Subtract 3 from 16 to get 13.

$$2x=\frac{13}{6}$$

Divide both sides by 2.

$$x=\frac{\frac{13}{6}}{2}$$

Express \frac{\frac{13}{6}}{2} as a single fraction.

$$x=\frac{13}{6\times 2}$$

Multiply 6 and 2 to get 12.

$$x=\frac{13}{12}$$