Respuesta :

Ammimochi

Break down the problem into these two equations;

x - 1 = 5x + 10

-(x - 1) = 5x + 10

Now solve the first equation; x - 1 = 5x + 10

x = -11/4

Solve the second equation; -(x - 1) = 5x + 10

x = -3/2

Collect all solutions

x = -11/4, -3/2

Check solution

So, when x = -11/4, the original equation |x - 1| = 5x + 10 doesn't hold true. We will drop x = -11/4 from the solution set.

Therefore,

x = -3/2