Solve 15.9(2x+1)=5

$$15.9 ( 2 x + 1 ) = 5$$

Solve for x

$$x=-\frac{109}{318}\approx -0.342767296$$

Steps for Solving Linear Equation

Divide both sides by 15.9.

$$2x+1=\frac{5}{15.9}$$

Expand \frac{5}{15.9} by multiplying both numerator and the denominator by 10.

$$2x+1=\frac{50}{159}$$

Subtract 1 from both sides.

$$2x=\frac{50}{159}-1$$

Convert 1 to fraction \frac{159}{159}.

$$2x=\frac{50}{159}-\frac{159}{159}$$

Since \frac{50}{159} and \frac{159}{159} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{50-159}{159}$$

Subtract 159 from 50 to get -109.

$$2x=-\frac{109}{159}$$

Divide both sides by 2.

$$x=\frac{-\frac{109}{159}}{2}$$

Express \frac{-\frac{109}{159}}{2} as a single fraction.

$$x=\frac{-109}{159\times 2}$$

Multiply 159 and 2 to get 318.

$$x=\frac{-109}{318}$$

Fraction \frac{-109}{318} can be rewritten as -\frac{109}{318} by extracting the negative sign.

$$x=-\frac{109}{318}$$