Solve 3/5-x=1-3/4

$$\frac { 3 } { 5 } - x = 1 - \frac { 3 } { 4 }$$

Solve for x

$$x=\frac{7}{20}=0.35$$

Steps for Solving Linear Equation

Convert 1 to fraction \frac{4}{4}.

$$\frac{3}{5}-x=\frac{4}{4}-\frac{3}{4}$$

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

$$\frac{3}{5}-x=\frac{4-3}{4}$$

Subtract 3 from 4 to get 1.

$$\frac{3}{5}-x=\frac{1}{4}$$

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

$$-x=\frac{1}{4}-\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{3}{5} to fractions with denominator 20.

$$-x=\frac{5}{20}-\frac{12}{20}$$

Since \frac{5}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{5-12}{20}$$

Subtract 12 from 5 to get -7.

$$-x=-\frac{7}{20}$$

Multiply both sides by -1.

$$x=\frac{7}{20}$$