Isolate variable x: We need to isolate the variable x on one side of the inequality to solve for it.First, subtract 7 from both sides of the inequality to move the constant term to the left side.-5 - 7 < 7 + 2x - 7
Subtract and simplify: Now, simplify both sides of the inequality. -12 < 2x
Divide to solve x: Next, divide both sides of the inequality by 2 to solve for x.-\frac{12}{2} < \frac{2x}{2}
Final solution: Simplify the inequality to find the solution for x.-6 < x