Question 242419
We have two answers for your problem because it is an absolute value,
|2x - 1| = 5 

first solution:
|2x - 1| = 5  >>remove the absolute value sign
2x - 1 = 5    >>transpose
2x = 5 + 1    >>add
2x = 6        >>divide the equation by two
2x/2 = 6/2
x = 3         >>we are not yet done

second solution:
|2x - 1| = 5 >>remove the absolute value sign and change the sign of 5 into negative

2x - 1 = -5  >>transpose
2x = -5 + 1  >>add
2x = -4      >>divide the equation by two
2x/2 = -4/2  
x = -2       >>we are done.

so for this problem, our two solutions are: x=3 and x=-2