Solve -5(2x-4)=6

$$-5(2x-4)=6$$

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Divide both sides by -5.

$$2x-4=-\frac{6}{5}$$

Add 4 to both sides.

$$2x=-\frac{6}{5}+4$$

Convert 4 to fraction \frac{20}{5}.

$$2x=-\frac{6}{5}+\frac{20}{5}$$

Since -\frac{6}{5} and \frac{20}{5} have the same denominator, add them by adding their numerators.

$$2x=\frac{-6+20}{5}$$

Add -6 and 20 to get 14.

$$2x=\frac{14}{5}$$

Divide both sides by 2.

$$x=\frac{\frac{14}{5}}{2}$$

Express \frac{\frac{14}{5}}{2} as a single fraction.

$$x=\frac{14}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$x=\frac{14}{10}$$

Reduce the fraction \frac{14}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{7}{5}$$