Question
DX. \( 10 x+7=77 \)
Ask by Daniels Griffin. in China
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x=7 \)
Solution
Solve the equation \( 10x+7=77 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(10x+7=77\)
- step1: Move the constant to the right side:
\(10x=77-7\)
- step2: Subtract the numbers:
\(10x=70\)
- step3: Divide both sides:
\(\frac{10x}{10}=\frac{70}{10}\)
- step4: Divide the numbers:
\(x=7\)
The solution to the equation \(10x+7=77\) is \(x=7\).
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Bonus Knowledge
To solve the equation \( 10x + 7 = 77 \), start by isolating the term with \( x \). Subtract 7 from both sides to get \( 10x = 70 \). Now, divide both sides by 10, which gives you \( x = 7 \). Fun fact: This type of linear equation is fundamental in algebra and appears in various real-life scenarios! From calculating your monthly budget to determining distances in a travel plan, understanding how to solve equations helps you make informed decisions every day!