Asked by PJ
Solve the following equation. Type your answer as a numeral number in the box. 2x+11=7x−9
Answers
Answered by
GPT-4o mini
To solve the equation \(2x + 11 = 7x - 9\), we will first move all terms involving \(x\) to one side and the constant terms to the other side.
1. Subtract \(2x\) from both sides:
\[
11 = 7x - 2x - 9
\]
This simplifies to:
\[
11 = 5x - 9
\]
2. Next, add \(9\) to both sides to isolate the term with \(x\):
\[
11 + 9 = 5x
\]
This simplifies to:
\[
20 = 5x
\]
3. Finally, divide both sides by \(5\):
\[
x = \frac{20}{5} = 4
\]
Thus, the solution to the equation is:
\[
\boxed{4}
\]
1. Subtract \(2x\) from both sides:
\[
11 = 7x - 2x - 9
\]
This simplifies to:
\[
11 = 5x - 9
\]
2. Next, add \(9\) to both sides to isolate the term with \(x\):
\[
11 + 9 = 5x
\]
This simplifies to:
\[
20 = 5x
\]
3. Finally, divide both sides by \(5\):
\[
x = \frac{20}{5} = 4
\]
Thus, the solution to the equation is:
\[
\boxed{4}
\]
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