Question

The first step in solving the equation 2+|4x−3|=7 is to isolate the absolute value expression. What is the first step to isolate the absolute value expression?
Divide both sides of the equation by 4.
Add 3 to both sides of the equation.
Subtract 7 from both sides of the equation.
Subtract 2 from both sides of the equation.

Answer 1

Answer:

subtract 2 from both sides

Step-by-step explanation:

2+|4x-3|=7

|4x-3|+2=7

step 1:add -2 to both sides/subtract 2 from both sides (they are the same)

Step 2: Solve Absolute Value.

|4x−3|=5

We know either4x−3=5 or 4x−3=−5

4x−3=5(Possibility 1)

4x−3+3=5+3(Add 3 to both sides)

4x=8

4x /4=8/4

(Divide both sides by 4)

x=2

4x−3=−5 (Possibility 2)

4x−3+3=−5+3 (Add 3 to both sides)

4x=−2

4x /4 = −2 /4

(Divide both sides by 4)

x= −1 /2

Answer:

x=2 or x= −1 /2