Solve 2/3x+3/4=28

$$\frac{ 2 }{ 3 } x+ \frac{ 3 }{ 4 } =28$$

Solve for x

$$x = \frac{327}{8} = 40\frac{7}{8} = 40.875$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x=28-\frac{3}{4}$$

Convert 28 to fraction \frac{112}{4}.

$$\frac{2}{3}x=\frac{112}{4}-\frac{3}{4}$$

Since \frac{112}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{112-3}{4}$$

Subtract 3 from 112 to get 109.

$$\frac{2}{3}x=\frac{109}{4}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=\frac{109}{4}\times \frac{3}{2}$$

Multiply \frac{109}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{109\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{109\times 3}{4\times 2}.

$$x=\frac{327}{8}$$