Solve 8/5-x=3/7

$$\frac { 8 } { 5 } - x = \frac { 3 } { 7 }$$

Solve for x

$$x = \frac{41}{35} = 1\frac{6}{35} \approx 1.171428571$$

Steps for Solving Linear Equation

Subtract \frac{8}{5} from both sides.

$$-x=\frac{3}{7}-\frac{8}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{3}{7} and \frac{8}{5} to fractions with denominator 35.

$$-x=\frac{15}{35}-\frac{56}{35}$$

Since \frac{15}{35} and \frac{56}{35} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{15-56}{35}$$

Subtract 56 from 15 to get -41.

$$-x=-\frac{41}{35}$$

Multiply both sides by -1.

$$x=\frac{41}{35}$$