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
