Solve 32/4+x+5=9

$$\frac { 32 } { 4 + x } + 5 = 9$$

Solve for x

$$x=4$$

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.

$$32+\left(x+4\right)\times 5=9\left(x+4\right)$$

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

$$32+5x+20=9\left(x+4\right)$$

Add 32 and 20 to get 52.

$$52+5x=9\left(x+4\right)$$

Use the distributive property to multiply 9 by x+4.

$$52+5x=9x+36$$

Subtract 9x from both sides.

$$52+5x-9x=36$$

Combine 5x and -9x to get -4x.

$$52-4x=36$$

Subtract 52 from both sides.

$$-4x=36-52$$

Subtract 52 from 36 to get -16.

$$-4x=-16$$

Divide both sides by -4.

$$x=\frac{-16}{-4}$$

Divide -16 by -4 to get 4.

$$x=4$$