Solve 2x/2+x=5

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

Solve for x

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

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.

$$2x=5\left(x+2\right)$$

Use the distributive property to multiply 5 by x+2.

$$2x=5x+10$$

Subtract 5x from both sides.

$$2x-5x=10$$

Combine 2x and -5x to get -3x.

$$-3x=10$$

Divide both sides by -3.

$$x=\frac{10}{-3}$$

Fraction \frac{10}{-3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$x=-\frac{10}{3}$$