Solve {l}{5n=8-36/7}{=}

$$\left. \begin{array}{l}{ 5 n = 8 - \frac { 36 } { 7 } }\\{ = }\end{array} \right.$$

Solve for n

$$n=\frac{4}{7}\approx 0.571428571$$

Steps for Solving Linear Equation

Convert 8 to fraction \frac{56}{7}.

$$5n=\frac{56}{7}-\frac{36}{7}$$

Since \frac{56}{7} and \frac{36}{7} have the same denominator, subtract them by subtracting their numerators.

$$5n=\frac{56-36}{7}$$

Subtract 36 from 56 to get 20.

$$5n=\frac{20}{7}$$

Divide both sides by 5.

$$n=\frac{\frac{20}{7}}{5}$$

Express \frac{\frac{20}{7}}{5} as a single fraction.

$$n=\frac{20}{7\times 5}$$

Multiply 7 and 5 to get 35.

$$n=\frac{20}{35}$$

Reduce the fraction \frac{20}{35} to lowest terms by extracting and canceling out 5.

$$n=\frac{4}{7}$$