Solve 5(2x-1)=6

$$5 ( 2 x - 1 ) = 6$$

Solve for x

$$x = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

Steps for Solving Linear Equation

Divide both sides by 5.

$$2x-1=\frac{6}{5}$$

Add 1 to both sides.

$$2x=\frac{6}{5}+1$$

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

$$2x=\frac{6}{5}+\frac{5}{5}$$

Since \frac{6}{5} and \frac{5}{5} have the same denominator, add them by adding their numerators.

$$2x=\frac{6+5}{5}$$

Add 6 and 5 to get 11.

$$2x=\frac{11}{5}$$

Divide both sides by 2.

$$x=\frac{\frac{11}{5}}{2}$$

Express \frac{\frac{11}{5}}{2} as a single fraction.

$$x=\frac{11}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$x=\frac{11}{10}$$