Solve 2/2+x=1/1.2

$$\frac { 2 } { 2 + x } = \frac { 1 } { 1.2 }$$

Solve for x

$$x=0.4$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$2=\left(x+2\right)\times \frac{1}{1.2}$$

Expand \frac{1}{1.2} by multiplying both numerator and the denominator by 10.

$$2=\left(x+2\right)\times \frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$2=\left(x+2\right)\times \frac{5}{6}$$

Use the distributive property to multiply x+2 by \frac{5}{6}.

$$2=\frac{5}{6}x+\frac{5}{3}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{5}{6}x+\frac{5}{3}=2$$

Subtract \frac{5}{3} from both sides.

$$\frac{5}{6}x=2-\frac{5}{3}$$

Subtract \frac{5}{3} from 2 to get \frac{1}{3}.

$$\frac{5}{6}x=\frac{1}{3}$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$x=\frac{1}{3}\times \frac{6}{5}$$

Multiply \frac{1}{3} and \frac{6}{5} to get \frac{2}{5}.

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