Solve 5(3x-2)=26

$$5 ( 3 x - 2 ) = 26$$

Solve for x

$$x = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$3x-2=\frac{26}{5}$$

Add 2 to both sides.

$$3x=\frac{26}{5}+2$$

Convert 2 to fraction \frac{10}{5}.

$$3x=\frac{26}{5}+\frac{10}{5}$$

Since \frac{26}{5} and \frac{10}{5} have the same denominator, add them by adding their numerators.

$$3x=\frac{26+10}{5}$$

Add 26 and 10 to get 36.

$$3x=\frac{36}{5}$$

Divide both sides by 3.

$$x=\frac{\frac{36}{5}}{3}$$

Express \frac{\frac{36}{5}}{3} as a single fraction.

$$x=\frac{36}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$x=\frac{36}{15}$$

Reduce the fraction \frac{36}{15} to lowest terms by extracting and canceling out 3.

$$x=\frac{12}{5}$$