Respuesta :

Solving an equation

In order to solve the following equation:

-4x - 9 = 23

We want to "leave alone" the x on one side of the equation.

In order to solve the equation for x we just have to remember one simple rule:

Step 1: taking -9 to the right side

We want to take -9 to the right side of the equation:

-4x - 9 = 23

↓ adding 9 both sides

-4x - 9 + 9 = 23 + 9

↓ since - 9 + 9 = 0 on the left side and 23 + 9 = 32 on the right

-4x + 0 = 32

-4x = 32

Step 2: taking -4 to the right side

We want to take -4 to the right side of the equation:

-4x = 32

↓ dividing - 4 both sides

-4x/(-4) = 32/(-4)

↓ since -4x/4=x on the left side and 32/(-4) = -8 on the right

x = -8

Answer: x = -8