Solve the equation 6 - 6x = 5x - 9x - 2

Answer 1

Hi Haven!

The objective is to get x by itself on one side.

First simplify the right side

6 - 6x = 5x - 9x -2

6 - 6x = -4x - 2 (5x - 9x = -4x)

6 - 6x = -4x - 2

+6x +6x (add 6x to both sides)

----------------------

6 = 2x - 2

6 = 2x - 2

+2 +2 (add 2 to both sides)

----------------

8 = 2x

8 = 2x

-- --- (divide both sides by 2)

2 2

4 = x or x = 4

Plug this back into the original equation

for each x and see if both sides check.

Answer 2

Hello, thank you for taking the time to post your question!

The key on this type of question is to combine like terms and then simplify! So that means taking

6 – 6x = 5x – 9x – 2 and moving the constant terms and the x terms to the same side of the equation

6 – 6x = -4x – 2

8 = 2x

finally then divide both sides by 2 to get the "x" term by itself

8/2 = 2/2 x

x = 4

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 3

Hi Haven

You need to combine like terms, get the variables on one side of the equation. and the constants on the other by adding their opposites then solve for x

6 - 6x = 5x -9x -2

6 - 6x = -4x - 2

Add +6x to both sides

6 = 6x - 4x - 2

6 = 2x - 2

Add 2 from both sides

6 + 2 = 2x

8 = 2x

Now divide both sides by 2

4 = x

Checking in then original equation

6 - 6x = 5x - 9x -2

6 -6(4) = 5(4) - 9(4) - 2

6 -24 = 20 - 36 - 2

-18 = 20 - 38

-18 = -18

Hope this helps