Question
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Answer
\( x=-48 \)
Solution
Solve the equation \( -\frac{x}{3}+4=20 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(-\frac{x}{3}+4=20\)
- step1: Move the constant to the right side:
\(-\frac{x}{3}=20-4\)
- step2: Subtract the numbers:
\(-\frac{x}{3}=16\)
- step3: Rewrite the expression:
\(\frac{-x}{3}=16\)
- step4: Cross multiply:
\(-x=3\times 16\)
- step5: Simplify the equation:
\(-x=48\)
- step6: Change the signs:
\(x=-48\)
The solution to the equation \( \frac{-x}{3}+4=20 \) is \( x=-48 \).
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Simplify this solution The Deep Dive
To solve for \( x \) in the equation \( \frac{-x}{3}+4=20 \), first, isolate the term with \( x \). Subtract 4 from both sides to get \( \frac{-x}{3} = 16 \). Next, multiply both sides by -3 to find \( x = -48 \). And voila, you've cracked the code! Remember to always check your work by plugging the value back into the original equation to ensure it balances. It’s like a little dance solve—step back to confirm your final moves!
