Question

Solve the absolute value equation 7 l 2x-3 l =49

Answer 1

7 l 2x-3 l =49

l 2x-3 l =$\frac{49}{7}$

 l 2x-3 l = 7

If |x| = a

Then x = a or x= -a

 l 2x-3 l = 7

2x - 3 = 7 or 2x - 3 = -7

2x= 7 +3 or 2x = -7 +3

2x= 10 or 2x=-4

x=$\frac{10}{2}$ or x=$\frac{-4}{2}$

x=5 or -2

Thus, the solution of the given absolute value equation is x= 5 , -2.