Solve 159(2x+1)=5

$$159 ( 2 x + 1 ) = 5$$

Solve for x

$$x=-\frac{77}{159}\approx -0.48427673$$

Steps for Solving Linear Equation

Divide both sides by 159.

$$2x+1=\frac{5}{159}$$

Subtract 1 from both sides.

$$2x=\frac{5}{159}-1$$

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

$$2x=\frac{5}{159}-\frac{159}{159}$$

Since \frac{5}{159} and \frac{159}{159} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{5-159}{159}$$

Subtract 159 from 5 to get -154.

$$2x=-\frac{154}{159}$$

Divide both sides by 2.

$$x=\frac{-\frac{154}{159}}{2}$$

Express \frac{-\frac{154}{159}}{2} as a single fraction.

$$x=\frac{-154}{159\times 2}$$

Multiply 159 and 2 to get 318.

$$x=\frac{-154}{318}$$

Reduce the fraction \frac{-154}{318} to lowest terms by extracting and canceling out 2.

$$x=-\frac{77}{159}$$