Solve 14(9x+16)=244

$$14(9x+16)=244$$

Solve for x

$$x=\frac{10}{63}\approx 0.158730159$$

Steps for Solving Linear Equation

Divide both sides by 14.

$$9x+16=\frac{244}{14}$$

Reduce the fraction \frac{244}{14} to lowest terms by extracting and canceling out 2.

$$9x+16=\frac{122}{7}$$

Subtract 16 from both sides.

$$9x=\frac{122}{7}-16$$

Convert 16 to fraction \frac{112}{7}.

$$9x=\frac{122}{7}-\frac{112}{7}$$

Since \frac{122}{7} and \frac{112}{7} have the same denominator, subtract them by subtracting their numerators.

$$9x=\frac{122-112}{7}$$

Subtract 112 from 122 to get 10.

$$9x=\frac{10}{7}$$

Divide both sides by 9.

$$x=\frac{\frac{10}{7}}{9}$$

Express \frac{\frac{10}{7}}{9} as a single fraction.

$$x=\frac{10}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$x=\frac{10}{63}$$