Answer:
x = 22/3, x=14
Step-by-step explanation:
Start by isolating whatever is in the absolute value sign; in this case divide either side by 4
4|1-3/4x + 7| =10,
----------------- ----
4 4
|1-3/4x + 7| = 10/4 = 5/2,
now if we apply the absolute value rule we know that 1-3/4x + 7 will be equal to -5/2, and 5/2
1-3/4x + 7 = 5/2 and 1-3/4x + 7 = -5/2
-3/4x + 8 = 5/2,
-3/4x=5/2-8,
-3/4x = 5/2-16/2,
-3/4x = -11/2,
x = -11/2*-4/3 = 44/6 = 22/3
-3/4x+8 = -5/2
-3/4x = -5/2-8
-3/4x = -5/2-16/2
-3/4x = -21/2
x = -21/2*-4/3 = 82/6 = 14
