Answer:
x = [tex]\frac{11}{2}[/tex], [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
First, isolate the absolute value:
5|2x - 7| = 20
divide both sides by 5:
|2x - 7| = 4
break into 2 equations:
2x - 7 = 4, 2x - 7 = -4
solve both equations and collect solutions:
2x = 11, 2x = 3
x = [tex]\frac{11}{2}[/tex], [tex]\frac{3}{2}[/tex]
Answer:
x=11/2,3/2
Step-by-step explanation:
Given equation:
5|2x-7|=20
=> |2x-7| = 20/5 = 4
Since the left hand side is an absolute value, the equation can be expressed in two alternate forms.
The two possible scenarios are:
1) 2x-7 = 4 or 2) 2x-7 = -4
Solving these two equations individually:
Equation 1:
1) 2x-7 = 4
=> 2x = 4+7=11
=> x= 11/2
2) 2x-7 = -4
=> 2x = 7-4 = 3
=> x=3/2
Hence the required values of x are 11/2,3/2
