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IX. \( 10 x+7=77 \)

Ask by Garza Ingram. in the United States
Feb 18,2025

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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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To solve the equation \( 10x + 7 = 77 \), let’s first isolate \( x \). Start by subtracting 7 from both sides: \( 10x = 70 \). Now, divide both sides by 10: \( x = 7 \). So, the solution to the equation is \( x = 7 \). Now, if you're ever stuck on how to handle such equations, a great tip is to always do the operations in reverse order of operations: work to isolate the variable step by step. Often, students jump straight to dividing before simplifying, which can lead to errors. For more in-depth practice, consider looking into algebra workbooks that focus on linear equations, or online platforms like Khan Academy that provide interactive lessons and quizzes on solving equations. They make learning not only easy but fun too!

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