Question

Solve the equation and check the solution.
9xminus5xminus2xequals0
Question content area bottom
Part 1
x​ =
  
enter your response here

Answer 1

To solve the equation \(9x - 5x - 2x = 0\), we can first combine the like terms on the left side of the equation.

1. Combine the coefficients of \(x\):
\[
9x - 5x - 2x = (9 - 5 - 2)x = 2x
\]

2. So the equation simplifies to:
\[
2x = 0
\]

3. Next, divide both sides by 2:
\[
x = \frac{0}{2} = 0
\]

Now, we have the solution:
\[
x = 0
\]

**Checking the solution**:

To verify, substitute \(x = 0\) back into the original equation:
\[
9(0) - 5(0) - 2(0) = 0
\]
\[
0 - 0 - 0 = 0
\]
This holds true.

Thus, the solution is confirmed:
\[
x = 0
\]