How do you solve <mstyle displaystyle="true"> | 2 x

telegrafyx 2022-06-24 Answered
How do you solve | 2 x + 3 | + 4 = 5 x
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Answers (1)

Jaylee Dodson
Answered 2022-06-25 Author has 22 answers
Step 1
Solve:
| 2 x + 3 | + 4 = 5 x
Since | a | = a and | - a | = a , there is both a positive and negative component to the equation, therefore you will have two equations to solve.
First Equation: ( 2 x + 3 ) is Positive
2 x + 3 + 4 = 5 x
Subtract 2x from both sides.
3 + 4 = 5 x - 2 x
Simplify.
7 = 3 x
Divide both sides by 3.
7 3 = x
Switch sides.
x = 7 3
Second Equation: ( 2 + 3 ) is Negative
- ( 2 x + 3 ) + 4 = 5 x
Simplify.
- 2 x - 3 + 4 = 5 x
Add 2x to both sides.
- 3 + 4 = 5 x + 2 x
Simplify.
1 = 7 x
Divide both sides by 7.
1 7 = x
Switch sides.
x = 1 7
Therefore:
x = 1 7 , 7 3

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