Solve 40/169=125-x/125

$$\frac { 40 } { 169 } = \frac { 125 - x } { 125 }$$

Solve for x

$$x = \frac{16125}{169} = 95\frac{70}{169} \approx 95.414201183$$

Steps for Solving Linear Equation

Multiply both sides by 125.

$$\frac{40}{169}\times 125=125-x$$

Express \frac{40}{169}\times 125 as a single fraction.

$$\frac{40\times 125}{169}=125-x$$

Multiply 40 and 125 to get 5000.

$$\frac{5000}{169}=125-x$$

Swap sides so that all variable terms are on the left hand side.

$$125-x=\frac{5000}{169}$$

Subtract 125 from both sides.

$$-x=\frac{5000}{169}-125$$

Convert 125 to fraction \frac{21125}{169}.

$$-x=\frac{5000}{169}-\frac{21125}{169}$$

Since \frac{5000}{169} and \frac{21125}{169} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{5000-21125}{169}$$

Subtract 21125 from 5000 to get -16125.

$$-x=-\frac{16125}{169}$$

Multiply both sides by -1.

$$x=\frac{16125}{169}$$