Question

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

Answer 1

Answer:

Last option; x = 1 or x = -5

Step-by-step 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.

• $\frac{4(|2x+4|)}{4} = \frac{24}{4}$
• $|2x+4| = 6$

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.

• $\frac{2x}{2} = \frac{2}{2}$
• $x = 1$

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.

• $\frac{2x}{2}= \frac{-10}{2}$
• $x = -5$

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.