Question

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Part 1
Solve the equation.
15xminus7equals5plus12x

Answer 1

To solve the equation \( 15x - 7 = 5 + 12x \), follow these steps:

1. **Isolate the variable terms on one side**:
Subtract \( 12x \) from both sides of the equation:

\[
15x - 12x - 7 = 5
\]

This simplifies to:

\[
3x - 7 = 5
\]

2. **Isolate the constant term**:
Next, add \( 7 \) to both sides of the equation:

\[
3x - 7 + 7 = 5 + 7
\]

This simplifies to:

\[
3x = 12
\]

3. **Solve for \( x \)**:
Divide both sides by \( 3 \):

\[
x = \frac{12}{3}
\]

Simplifying gives:

\[
x = 4
\]

The solution to the equation \( 15x - 7 = 5 + 12x \) is \( x = 4 \).