Question

Solve the equation. Check for extraneous solutions.
a) x=3/2 or x=5/6
b)x=3/2 or x=5/8
c) x=5/8
d) x=3/2

Answer 1

2|7 - 7x| = 2x + 4
14 - 14x = 2x + 4
-14x - 2x = 4 - 14
-16x = -10
x = -10/-16
x = 5/8

2-|7 - 7x| = 2x + 4
2(-7 + 7x) = 2x + 4
-14 + 14x = 2x + 4
14x - 2x = 4 + 14
12x = 18
x = 18/12
x = 3/2

x = 3/2 or x = 5/8