Question

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Part 1
Solve the equation.
16xminus5equals7plus14x

Answer 1

To solve the equation \(16x - 5 = 7 + 14x\), follow these steps:

1. **Rearrange the equation to isolate \(x\):**
- Subtract \(14x\) from both sides:
\[
16x - 14x - 5 = 7
\]
This simplifies to:
\[
2x - 5 = 7
\]

2. **Next, add 5 to both sides:**
\[
2x - 5 + 5 = 7 + 5
\]
This simplifies to:
\[
2x = 12
\]

3. **Now, divide both sides by 2:**
\[
x = \frac{12}{2}
\]
This simplifies to:
\[
x = 6
\]

Thus, the solution for the equation \(16x - 5 = 7 + 14x\) is:
\[
\boxed{6}
\]