Solve 3/4+2/5x=9/10

$$\frac { 3 } { 4 } + \frac { 2 } { 5 } x = \frac { 9 } { 10 }$$

Solve for x

$$x=\frac{3}{8}=0.375$$

Steps for Solving Linear Equation

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

$$\frac{2}{5}x=\frac{9}{10}-\frac{3}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{9}{10} and \frac{3}{4} to fractions with denominator 20.

$$\frac{2}{5}x=\frac{18}{20}-\frac{15}{20}$$

Since \frac{18}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{5}x=\frac{18-15}{20}$$

Subtract 15 from 18 to get 3.

$$\frac{2}{5}x=\frac{3}{20}$$

Multiply both sides by \frac{5}{2}, the reciprocal of \frac{2}{5}.

$$x=\frac{3}{20}\times \frac{5}{2}$$

Multiply \frac{3}{20} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{3\times 5}{20\times 2}$$

Do the multiplications in the fraction \frac{3\times 5}{20\times 2}.

$$x=\frac{15}{40}$$

Reduce the fraction \frac{15}{40} to lowest terms by extracting and canceling out 5.

$$x=\frac{3}{8}$$