Solve 4-x/4+x=5

$$\frac { 4 - x } { 4 + x } = 5$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

$$4-x=5\left(x+4\right)$$

Use the distributive property to multiply 5 by x+4.

$$4-x=5x+20$$

Subtract 5x from both sides.

$$4-x-5x=20$$

Combine -x and -5x to get -6x.

$$4-6x=20$$

Subtract 4 from both sides.

$$-6x=20-4$$

Subtract 4 from 20 to get 16.

$$-6x=16$$

Divide both sides by -6.

$$x=\frac{16}{-6}$$

Reduce the fraction \frac{16}{-6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{8}{3}$$