Question

2|3x-3|+5=11

Find the absolute value
Please show work

Answer 1

x=2,0

Explanation:

Answer 2

`x=2,0`

Explanation:

STEP 1: Move all terms not containing |3x−3| to the right side of the equation.

`2|3x-3|=6`

STEP 2: Divide each term by 2 and simplify.

`|3x-3|=3`

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x| = ±x

`3x-3=` ±3

STEP 4: Set up the positive portion of the ± solution.

`3x-3=3`

STEP 5: Solve the first equation for x moving all terms not containing to the right side of the equation.

`3x=6`

STEP 6: Divide each term by 3 and simplify.

`x=2`

STEP 7: Set up the negative portion of the ± solution.

`3x-3=-3`

STEP 8: Solve the second equation for x by moving all terms not containing to the right side of the equation.

`3x=0`

STEP 9: Divide each term by 3 and simplify.

`x=0`

STEP 10: The solution to the equation includes both the positive and negative portions of the solution.

`x=2,0`