Solve 3/7-x+3/5=1

$$\frac { 3 } { 7 } - x + \frac { 3 } { 5 } = 1$$

Solve for x

$$x=\frac{1}{35}\approx 0.028571429$$

Steps for Solving Linear Equation

Least common multiple of 7 and 5 is 35. Convert \frac{3}{7} and \frac{3}{5} to fractions with denominator 35.

$$\frac{15}{35}-x+\frac{21}{35}=1$$

Since \frac{15}{35} and \frac{21}{35} have the same denominator, add them by adding their numerators.

$$\frac{15+21}{35}-x=1$$

Add 15 and 21 to get 36.

$$\frac{36}{35}-x=1$$

Subtract \frac{36}{35} from both sides.

$$-x=1-\frac{36}{35}$$

Convert 1 to fraction \frac{35}{35}.

$$-x=\frac{35}{35}-\frac{36}{35}$$

Since \frac{35}{35} and \frac{36}{35} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{35-36}{35}$$

Subtract 36 from 35 to get -1.

$$-x=-\frac{1}{35}$$

Multiply both sides by -1.

$$x=\frac{1}{35}$$