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Answer
La solución de la ecuación \(7x-12=30\) es \(x=6\).
Solution
Solve the equation \( 7x-12=30 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(7x-12=30\)
- step1: Move the constant to the right side:
\(7x=30+12\)
- step2: Add the numbers:
\(7x=42\)
- step3: Divide both sides:
\(\frac{7x}{7}=\frac{42}{7}\)
- step4: Divide the numbers:
\(x=6\)
La solución de la ecuación \(7x-12=30\) es \(x=6\).
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Simplify this solution Extra Insights
To solve the equation \( 7x - 12 = 30 \), start by isolating the variable. Add 12 to both sides to get \( 7x = 42 \). Then, divide both sides by 7, giving you \( x = 6 \). Voila! You’ve just cracked the code of this linear equation! Now, let’s think about how this applies in the real world. Imagine you’re saving money for a new gadget that costs $30, but you find $12 in your couch cushions. How much more do you need to save? If each week you save $7, this equation tells you that in just 6 weeks, you’ll have enough to buy that shiny new toy!
