Question

Solve for x: 3 - (2x - 5) <-4(x + 2)

Answer 1

Answer:

x < -8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

3 - (2x - 5) < -4(x + 2)

Step 2: Solve for x

1. Distribute:                         3 - 2x + 5 < -4x - 8
2. Combine like terms:         -2x + 8 < -4x - 8
3. Add 4x on both sides:     2x + 8 < -8
4. Isolate x term:                  2x < -16
5. Isolate x:                           x < -8

Here we see that any value x smaller than -8 would work as a solution in the inequality.