Step-by-step explanation:
[tex]7 - 2(x + 2) < -4 - 3(1 - x)[/tex]
First, let's distribute the terms outside each parentheses to get rid of them:
[tex]7 - 2x - 4 < -4 - 3 + 3x[/tex]
[tex]-2x + 3 < -7 + 3x[/tex]
Next, let's move the terms with an [tex]x[/tex] variable to the left side of the equation, and everything else to the right side:
[tex]-2x -3x < -7 - 3[/tex]
[tex]-5x < -10[/tex]
