Solve 2x+2*4/5+6=0

$$2x+2 \times \frac{ 4 }{ 5 } +6 = 0$$

Solve for x

$$x = -\frac{19}{5} = -3\frac{4}{5} = -3.8$$

Steps for Solving Linear Equation

Express 2\times \frac{4}{5} as a single fraction.

$$2x+\frac{2\times 4}{5}+6=0$$

Multiply 2 and 4 to get 8.

$$2x+\frac{8}{5}+6=0$$

Convert 6 to fraction \frac{30}{5}.

$$2x+\frac{8}{5}+\frac{30}{5}=0$$

Since \frac{8}{5} and \frac{30}{5} have the same denominator, add them by adding their numerators.

$$2x+\frac{8+30}{5}=0$$

Add 8 and 30 to get 38.

$$2x+\frac{38}{5}=0$$

Subtract \frac{38}{5} from both sides. Anything subtracted from zero gives its negation.

$$2x=-\frac{38}{5}$$

Divide both sides by 2.

$$x=\frac{-\frac{38}{5}}{2}$$

Express \frac{-\frac{38}{5}}{2} as a single fraction.

$$x=\frac{-38}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$x=\frac{-38}{10}$$

Reduce the fraction \frac{-38}{10} to lowest terms by extracting and canceling out 2.

$$x=-\frac{19}{5}$$