Respuesta :
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
The first step in solving the equation is to subtract 2 from both sides of the equation.
The given equation;
2 + |4x−3| = 7
To solve the above equation, the first step is to subtract 2 from both sides of the equation as shown below;
2 + |4x−3| = 7
2 + |4x−3| - 2 = 7 - 2
|4x−3| = 5
The next would be to form two equations;
-(4x - 3) = 5 and 4x - 3 = 5
from the above two equations, you determine the value of x.
Thus, the first step in solving the equation is to subtract 2 from both sides of the equation.
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