| 7-2x | =5 please help help me with this maths problem guys
Answers
Answer:
2x-7=5
2x=5+7
2x=12
x=12/2
x=6
That's the correct answer
Answer:
Answer is
Step-by-step explanation:
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|-2x+7| = 5
STEP
2
:
Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |-2x+7|
For the Negative case we'll use -(-2x+7)
For the Positive case we'll use (-2x+7)
STEP
3
:
Solve the Negative Case
-(-2x+7) = 5
Multiply
2x-7 = 5
Rearrange and Add up
2x = 12
Divide both sides by 2
x = 6
STEP
4
:
Solve the Positive Case
(-2x+7) = 5
Rearrange and Add up
-2x = -2
Divide both sides by 2
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
x=6
x=1
Solutions on the Number Line
Two solutions were found :
x=1
x=6