Question

How to solve -4x+-9=23

Answer 1

• 
  `\bold{x=-8}`

Solution:

Hi! To solve this equation, we should first simplify it as much as possible. Can you see that the number 9 has both signs, +-9? Well it can be simplified to just one sign, -9.

Now, we need to add 9 to both sides. As a result, the left side will simplify to
`\bold{-4x}`, and the right side will be
`\bold{23+9}`, which, of course, simplifies to
`\bold{32}`.

Now, the equation looks like this:
`\bold{-4x=32}`.

The next step is to divide both sides by -4:
`\bold{x=-8}`.

Problem solved! It's been a pleasure helping you.

Answer 2

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