Solve for x:
4(x + 4) = 6(x - 2)
O A. x = 9
B. x = 14
O C. x = 8
D. x = 1
2 answers:
Answer: 14 = x
Step-by-step explanation: Start by distributing through the parenthses
on each side of the equation to get 4x + 16 = 6x - 12.
Now move your x's to the right and numbers
to the left and you get 28 = 2x.
Divide both sides by 2 and 14 = x.
Answer:
x = 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define equation</u>
4(x + 4) = 6(x - 2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 4x + 16 = 6x - 12
- Subtract 4x on both sides: 16 = 2x - 12
- Add 12 on both sides: 28 = 2x
- Divide 2 on both sides: 14 = x
- Rewrite: x = 14
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 4(14 + 4) = 6(14 - 2)
- Add/Subtract: 4(18) = 6(12)
- Multiply: 72 = 72
And we have our final answer!
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