Question

- 4|7x + 2|=32 Please help, absolute value!

Answer 1

Answer:

x= 6/7 or x = −10/7

Step-by-step explanation:

Let's solve your equation step-by-step.

4(|7x+2|)=32

Step 1: Divide both sides by 4.

4(|7x+2|)/4 =32/4

|7x+2|=8

Step 2: Solve Absolute Value.

|7x+2|=8

We know either 7x+2=8 or 7x+2=−8

7x+2=8 (Possibility 1)

7x+2−2=8−2 (Subtract 2 from both sides)

7x/7 = 6/7

(Divide both sides by 7)

7x/7= 6/7

x= 6/7

7x+2=−8 (Possibility 2)

7x+2−2=−8−2 (Subtract 2 from both sides)

7x/7 = −10/7

(Divide both sides by 7)

x= −10/7

Answer:

x= 6/7 or x = −10/7