Solve 0.2+x/1+x=0.5

$$\frac{ 0.2+x }{ 1+x } = 0.5$$

Solve for x

$$x=0.6$$

Steps for Solving Linear Equation

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$0.2+x=0.5\left(x+1\right)$$

Use the distributive property to multiply 0.5 by x+1.

$$0.2+x=0.5x+0.5$$

Subtract 0.5x from both sides.

$$0.2+x-0.5x=0.5$$

Combine x and -0.5x to get 0.5x.

$$0.2+0.5x=0.5$$

Subtract 0.2 from both sides.

$$0.5x=0.5-0.2$$

Subtract 0.2 from 0.5 to get 0.3.

$$0.5x=0.3$$

Divide both sides by 0.5.

$$x=\frac{0.3}{0.5}$$

Expand \frac{0.3}{0.5} by multiplying both numerator and the denominator by 10.

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