Final answer:
To solve the given expression, distribute the numbers outside the parentheses, combine like terms, and isolate x by adding or subtracting terms on both sides of the equation. x is greater than 4.8.
Step-by-step explanation:
The given expression is: 27 - 2(x+2) < -4 - 3(1-x)
To simplify this expression, start by distributing the numbers outside the parentheses to the terms inside. Your new expression will be: 27 - 2x - 4 < - 4 - 3 + 3x
Combine like terms to simplify further: 23 - 2x < -1 + 3x
Add 2x to both sides of the equation: 23 < 3x + 2x - 1
Combine like terms: 23 < 5x - 1
Add 1 to both sides of the equation: 24 < 5x
Divide both sides by 5: 4.8 < x
So, x is greater than 4.8.