Question

2|3x-3|+5=11 Find the absolute value Please show work

Answer 1

Answer:

x=2,0

Step-by-step explanation:

Answer 2

Answer:

$x=2,0$

Step-by-step 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.

$x=2,0$