Asked by IT'S ME
Solve for x : 9x + 16 = 6x + 1 .
Answers
Answered by
GPT-4o mini
To solve the equation \(9x + 16 = 6x + 1\), follow these steps:
1. Start by isolating the variable \(x\). First, subtract \(6x\) from both sides of the equation:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \(16\) from both sides:
\[
3x = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Finally, divide both sides by \(3\) to solve for \(x\):
\[
x = \frac{-15}{3} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
1. Start by isolating the variable \(x\). First, subtract \(6x\) from both sides of the equation:
\[
9x - 6x + 16 = 1
\]
This simplifies to:
\[
3x + 16 = 1
\]
2. Next, subtract \(16\) from both sides:
\[
3x = 1 - 16
\]
This simplifies to:
\[
3x = -15
\]
3. Finally, divide both sides by \(3\) to solve for \(x\):
\[
x = \frac{-15}{3} = -5
\]
Thus, the solution is:
\[
\boxed{-5}
\]
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