The solution of the equation |x - 1| = 5x + 2 is
B. -1/6
how to solve for x
To solve the absolute value equation |x - 1| = 5x + 2, we'll consider two cases
1. When x - 1 is non-negative (or zero):
x - 1 = 5x + 2
2. When x - 1 is negative:
-(x - 1) = 5x + 2
Case 1
x - 1 = 5x + 2
Combine like terms:
4x = -3
x = -3/4
Case 2:
-(x - 1) = 5x + 2
-x + 1 = 5x + 2
Combine like terms
-6x = 1
x = --1/6