Question

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Part 1
Solve the equation and check the solution.
3xnegative 4equals2x

Answer 1

To solve the equation \( 3x - 4 = 2x \), follow these steps:

1. **Isolate the variable**: First, we want to get all terms involving \( x \) on one side and constant terms on the other side.

Subtract \( 2x \) from both sides:
\[
3x - 2x - 4 = 0
\]

Simplifying, we have:
\[
x - 4 = 0
\]

2. **Add 4 to both sides** to solve for \( x \):
\[
x = 4
\]

Now, we have found the solution: \( x = 4 \).

**Check the solution**:

Substitute \( x = 4 \) back into the original equation:
\[
3(4) - 4 = 2(4)
\]
Calculating both sides:
\[
12 - 4 = 8
\]
\[
8 = 8
\]

Since both sides of the equation are equal, our solution is verified.

The final answer is:
\[
\boxed{4}
\]