Answer:
x = -1 and x = 11
Step-by-step explanation:
[tex] |4x + 10| = |5x - 1| [/tex]
Out of that equation above we can rewrite these in different versions of signs separately:
[tex] - (4x + 10) = 5x - 1[/tex]
[tex]4x + 10 = 5x - 1[/tex]
We can finally solve for x in those equations:
[tex] - (4x + 10) = 5x - 1 \\ - 4x - 10 = 5x - 1 \\ - 9x = 9 \\ x = - 1[/tex]
[tex]4x + 10 = 5x - 1 \\ 4x + 10 = 5x - 1 \\ - x = - 11 \\ x = 11[/tex]
