Answer:
x = -11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
3 + 3(x + 2) = -24
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 3: 3 + 3x + 6 = -24
- Combine like terms: 3x + 9 = -24
- Isolate <em>x</em> term: 3x = -33
- Isolate <em>x</em>: x = -11
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 3 + 3(-11 + 2) = -24
- Add: 3 + 3(-9) = -24
- Multiply: 3 - 27 = -24
- Subtract: -24 = -24
Here we see that -24 does indeed equal -24.
∴ x = -11 is the solution to the equation.