Solve 5(2x+1)=4

$$5 ( 2 x + 1 ) = 4$$

Solve for x

$$x=-\frac{1}{10}=-0.1$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$2x+1=\frac{4}{5}$$

Subtract 1 from both sides.

$$2x=\frac{4}{5}-1$$

Convert 1 to fraction \frac{5}{5}.

$$2x=\frac{4}{5}-\frac{5}{5}$$

Since \frac{4}{5} and \frac{5}{5} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{4-5}{5}$$

Subtract 5 from 4 to get -1.

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

Divide both sides by 2.

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

Express \frac{-\frac{1}{5}}{2} as a single fraction.

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

Multiply 5 and 2 to get 10.

$$x=\frac{-1}{10}$$

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$x=-\frac{1}{10}$$