Solve for X

5x-5=9x+3

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from - 4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x = 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by - 4.

-4x/-4=8/-4

x=8/-4

x = - 2

5 x - 5 = 9 x + 3

Move variable to the left-hand side and change its sign

5 x - 9 x - 5 = 3

Move constant to the right-hand side and change its sign

5 x - 9 x = 3 + 5

Collect like terms

- 4 x = 3 + 5

Add the numbers

- 4 x = 8

Divide both sides of the equation by 4

X = - 2

And you answer is x = - 2