Question

Solve the equation and check your solution.



9x−4=2x+3

Answer 1

To solve the equation \(9x - 4 = 2x + 3\), we will isolate the variable \(x\).

1. First, subtract \(2x\) from both sides:
\[
9x - 2x - 4 = 3
\]
This simplifies to:
\[
7x - 4 = 3
\]

2. Next, add \(4\) to both sides:
\[
7x - 4 + 4 = 3 + 4
\]
This simplifies to:
\[
7x = 7
\]

3. Now, divide both sides by \(7\):
\[
x = 1
\]

Now, we will check the solution by substituting \(x = 1\) back into the original equation:

- Left side:
\[
9(1) - 4 = 9 - 4 = 5
\]
- Right side:
\[
2(1) + 3 = 2 + 3 = 5
\]

Since both sides are equal, our solution is confirmed.

Thus, the solution to the equation \(9x - 4 = 2x + 3\) is
\[
\boxed{1}
\]