Solve 9(2x+1)=5

$$9 ( 2 x + 1 ) = 5$$

Solve for x

$$x=-\frac{2}{9}\approx -0.222222222$$

Steps for Solving Linear Equation

Divide both sides by 9.

$$2x+1=\frac{5}{9}$$

Subtract 1 from both sides.

$$2x=\frac{5}{9}-1$$

Convert 1 to fraction \frac{9}{9}.

$$2x=\frac{5}{9}-\frac{9}{9}$$

Since \frac{5}{9} and \frac{9}{9} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{5-9}{9}$$

Subtract 9 from 5 to get -4.

$$2x=-\frac{4}{9}$$

Divide both sides by 2.

$$x=\frac{-\frac{4}{9}}{2}$$

Express \frac{-\frac{4}{9}}{2} as a single fraction.

$$x=\frac{-4}{9\times 2}$$

Multiply 9 and 2 to get 18.

$$x=\frac{-4}{18}$$

Reduce the fraction \frac{-4}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{2}{9}$$