Answer:
The solutions to the equation are x = 6 and x = 8
Explanations:
The given equation is:
4|2x - 14| + 10 = 18
Note:
|2x - 14| is an aboslute expression which can either be (2x - 14) or -(2x - 14)
Therefore, the equation has two solutions:
The first solution:
4 ( 2x - 14) + 10 = 18
4 ( 2x - 14) = 18 - 10
4 (2x - 14) = 8
2x - 14 = 8 / 4
2x - 14 = 2
2x = 2 + 14
2x = 16
x = 16 / 2
x = 8
The second solution
-4(2x - 14) + 10 = 18
-4 ( 2x - 14) = 18 - 10
-4 ( 2x - 14) = 8
2x - 14 = -8 / 4
2x - 14 = -2
2x = -2 + 14
2x = 12
x = 12 / 2
x = 6
The solutions to the equation are x = 6 and x = 8