Question

Can you show the steps on how to get the answer?

Answer 1

Last option; x = 1 or x = -5

Explanation:

1. Simplify the equation.

Step 1: Add 7 to both sides.

• 
  `4(|2x+4|)-7+7=17+7`
• 
  `4(|2x+4|) = 24`

Step 2: Divide both sides by 4.

• 
  `(4(|2x+4|))/(4) = (24)/(4)`
• 
  `|2x+4| = 6`

2. Now that we simplified the equation to this, we have to solve for absolute value. We know either
`2x + 4 = 6` or
`2x + 4 = -6`.

3. (Solving for 1st possibility)

Step 1: Subtract 4 from both sides.

• 
  `2x + 4 - 4 = 6-4`
• 
  `2x = 2`

Step 2: Divide both sides by 2.

• 
  `(2x)/(2) = (2)/(2)`
• 
  `x = 1`

4. (Solving for 2nd possibility)

Step 1: Subtract 4 from both sides.

• 
  `2x+4-4=-6-4`
• 
  `2x = -10`

Step 2: Divide both sides by 2.

• 
  `(2x)/(2)= (-10)/(2)`
• 
  `x = -5`

5. Now that we have the outcomes of both of our possibilities as x = 1 or x = -5, the last option matches with what we got.