Solve 3/5+x=14/15quad3/4-x

$$\frac { 3 } { 5 } + x = \frac { 14 } { 15 } \quad \frac { 3 } { 4 } - x$$

Solve for x

$$x=\frac{1}{20}=0.05$$

Steps for Solving Linear Equation

Multiply \frac{14}{15} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{5}+x=\frac{14\times 3}{15\times 4}-x$$

Do the multiplications in the fraction \frac{14\times 3}{15\times 4}.

$$\frac{3}{5}+x=\frac{42}{60}-x$$

Reduce the fraction \frac{42}{60} to lowest terms by extracting and canceling out 6.

$$\frac{3}{5}+x=\frac{7}{10}-x$$

Add x to both sides.

$$\frac{3}{5}+x+x=\frac{7}{10}$$

Combine x and x to get 2x.

$$\frac{3}{5}+2x=\frac{7}{10}$$

Subtract \frac{3}{5} from both sides.

$$2x=\frac{7}{10}-\frac{3}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{7}{10} and \frac{3}{5} to fractions with denominator 10.

$$2x=\frac{7}{10}-\frac{6}{10}$$

Since \frac{7}{10} and \frac{6}{10} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{7-6}{10}$$

Subtract 6 from 7 to get 1.

$$2x=\frac{1}{10}$$

Divide both sides by 2.

$$x=\frac{\frac{1}{10}}{2}$$

Express \frac{\frac{1}{10}}{2} as a single fraction.

$$x=\frac{1}{10\times 2}$$

Multiply 10 and 2 to get 20.

$$x=\frac{1}{20}$$