Answer:
the solutions are {-2, 3}
Step-by-step explanation:
First combine the constants 2 and 17:
3|2x-1|+2=17 => 3|2x - 1| = 15
Next, divide both sides by 3. We get:
3|2x - 1| = 15 => |2x - 1| = 5
We want to solve for x, so divide all three terms by 2 as follows:
|x - 1/2| = 5/2
This equation has two solutions. We regard 1/2 as the "center." The equation tells us that x is either 5/2 greater than this 1/2 or 5/2 smaller:
x = 1/2 + 5/2 = 6/2, or x = 3
and:
x = 1/2 - 5/2 = -4/2 = -2
Thus, the solutions are {-2, 3}
