Solve xdiv(2+x)=0.5

$$x \div (2+x)=0.5$$

Solve for x

$$x=2$$

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.

$$x=0.5\left(x+2\right)$$

Use the distributive property to multiply 0.5 by x+2.

$$x=0.5x+1$$

Subtract 0.5x from both sides.

$$x-0.5x=1$$

Combine x and -0.5x to get 0.5x.

$$0.5x=1$$

Divide both sides by 0.5.

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

Expand \frac{1}{0.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$x=2$$