Answer:
x = 4 or x = -4
Step-by-step explanation:
[tex] |2x - 3| + 1 = 6[/tex]
[tex] |2x - 3| = 5[/tex]
[tex]2x - 3 = 5[/tex]
[tex]2x = 8[/tex]
[tex] |2x| = 8[/tex]
If you plug in either the negative 4 or positive 4, it would still be 8 due to the absolute value.