Question
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Tutor-Verified Answer
Answer
\( x=1 \)
Solution
Solve the equation \( 12=16-4x \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(12=16-4x\)
- step1: Swap the sides:
\(16-4x=12\)
- step2: Move the constant to the right side:
\(-4x=12-16\)
- step3: Subtract the numbers:
\(-4x=-4\)
- step4: Change the signs:
\(4x=4\)
- step5: Divide both sides:
\(\frac{4x}{4}=\frac{4}{4}\)
- step6: Divide the numbers:
\(x=1\)
The solution to the equation \(12=16-4x\) is \(x=1\).
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Simplify this solution Beyond the Answer
To solve the equation \( 12 = 16 - 4x \), let's isolate \( x \). First, we'll subtract 16 from both sides: \( 12 - 16 = -4x \), which simplifies to \( -4 = -4x \). Dividing both sides by -4 gives us \( x = 1 \). Ta-da! We’ve found that \( x \) is 1, like a treasure hunter discovering a hidden gem. Now, real-world application alert! This equation might remind you of balancing budgets! Just like how we moved terms around to isolate \( x \), you can rearrange your expenses to figure out how much cash you have left after spending. It's like a fun little math puzzle to keep your finances in check!
