Final answer:
To solve the inequality, first distribute and combine like terms to get 7x + 4 < -10, then subtract 4 and divide by 7 to find the solution x < -2.
Step-by-step explanation:
To solve the inequality 5x + 2(x + 2) < -10, we need to simplify the expression and then solve for x.
- First, distribute the 2 into the parentheses: 5x + 2x + 4 < -10.
- Combine like terms: 7x + 4 < -10.
- Subtract 4 from both sides to isolate the variable term: 7x < -14.
- Finally, divide both sides by 7 to solve for x: x < -2.
The solution to the inequality is that x must be less than -2.