Answer
x$\lt$-2 and x$\gt$5
Work Step by Step
abs(2x-3)=7 can be divided into two different equations: 2x-3$\gt$7 and -2x+3$\gt$7
1. 2x-3$\gt$7
2x$\gt$10
x$\gt$5
2. -2x+3$\gt$7
-2x$\gt$4
-x$\gt$2
x$\lt$-2
therefore, combining both ranges of x, we get x$\lt$-2 and x$\gt$5
