Solve 1/2x+1/5=-2

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

Solve for x

$$x = -\frac{22}{5} = -4\frac{2}{5} = -4.4$$

Steps for Solving Linear Equation

Subtract \frac{1}{5} from both sides.

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

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

$$\frac{1}{2}x=-\frac{10}{5}-\frac{1}{5}$$

Since -\frac{10}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}x=\frac{-10-1}{5}$$

Subtract 1 from -10 to get -11.

$$\frac{1}{2}x=-\frac{11}{5}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

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

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

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

Multiply -11 and 2 to get -22.

$$x=\frac{-22}{5}$$

Fraction \frac{-22}{5} can be rewritten as -\frac{22}{5} by extracting the negative sign.

$$x=-\frac{22}{5}$$