Solve 3-x/x+2=7

$$3- \frac{ x }{ x+2 } = 7$$

Solve for x

$$x = -\frac{8}{5} = -1\frac{3}{5} = -1.6$$

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.

$$\left(x+2\right)\times 3-x=7\left(x+2\right)$$

Use the distributive property to multiply x+2 by 3.

$$3x+6-x=7\left(x+2\right)$$

Use the distributive property to multiply 7 by x+2.

$$3x+6-x=7x+14$$

Subtract 7x from both sides.

$$3x+6-x-7x=14$$

Combine 3x and -7x to get -4x.

$$-4x+6-x=14$$

Subtract 6 from both sides.

$$-4x-x=14-6$$

Subtract 6 from 14 to get 8.

$$-4x-x=8$$

Combine -4x and -x to get -5x.

$$-5x=8$$

Divide both sides by -5.

$$x=\frac{8}{-5}$$

Fraction \frac{8}{-5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

$$x=-\frac{8}{5}$$