Solve 5(3n+6)=53

$$5 ( 3 n + 6 ) = 53$$

Solve for n

$$n = \frac{23}{15} = 1\frac{8}{15} \approx 1.533333333$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$3n+6=\frac{53}{5}$$

Subtract 6 from both sides.

$$3n=\frac{53}{5}-6$$

Convert 6 to fraction \frac{30}{5}.

$$3n=\frac{53}{5}-\frac{30}{5}$$

Since \frac{53}{5} and \frac{30}{5} have the same denominator, subtract them by subtracting their numerators.

$$3n=\frac{53-30}{5}$$

Subtract 30 from 53 to get 23.

$$3n=\frac{23}{5}$$

Divide both sides by 3.

$$n=\frac{\frac{23}{5}}{3}$$

Express \frac{\frac{23}{5}}{3} as a single fraction.

$$n=\frac{23}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$n=\frac{23}{15}$$