Question

4. What is the solution to the equation
-3.5(x + 12) = -2x + 18?
A. X = -40
C. X=4
B. X=-4
D. X= 40

Answer 1

Answer:

A. x = -40

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

-3.5(x + 12) = -2x + 18

Step 2: Solve for x

1. Distribute -3.5:                              -3.5x - 42 = -2x + 18
2. Add 3.5x on both sides:               -42 = 1.5x + 18
3. Subtract 18 on both sides:           -60 = 1.5x
4. Divide 1.5 on both sides:              -40 = x
5. Rewrite:                                         x = -40