Answer
x = -(11/4) OR x = -(3/2)
x = -3.75 OR x -1.5
Explanation
The question wants us to solve the expression
|x - 1| = 5x + 10
Note that the expression on the left hand side of the equation is in absolute values, which means that it ensures that the result of (x - 1) is always positive even when a negative answer is obtained, the negative sign is ignored.
So, to solve mathematical equations of this type, the solution usually has two forms where one of the solutions is solving the expression as it is, while the other is to add the minus sign to the expression on the other side of the absolute value sign.
Hence, solution 1 will go thus
x - 1 = 5x + 10
x - 5x = 10 + 1
-4x = 11
Divide both sides by -4
(-4x/4) = (11/-4)
x = -(11/4)
Solution 2 will be
x - 1 = -(5x + 10)
x - 1 = -5x - 10
x + 5x = -10 + 1
6x = -9
Divide both sides by 6
(6x/6) = (-9/6)
x = -(9/6) = -(3/2)
Hope this Helps!!!