Solve the equation for x:
-3(x + 4) + 5x = 24
2 answers:
Answer:
x = 18
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</u>
-3(x + 4) + 5x = 24
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -3: -3x - 12 + 5x = 24
- Combine like terms: 2x - 12 = 24
- Isolate <em>x</em> term: 2x = 36
- Isolate <em>x</em>: x = 18
<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(18 + 4) + 5(18) = 24
- Add: -3(22) + 5(18) = 24
- Multiply: -66 + 90 = 24
- Add: 24 = 24
Here we see that 24 does indeed equal 24.
∴ x = 18 is the solution to the equation.
<h2>
Answer:</h2>

The solution for x in this equation is <em>18</em>.<em> </em>
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