3(−x+3)−2x+3=

−38

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 days ago

To solve the equation \( 3(-x + 3) - 2x + 3 = -38 \), we can follow these steps:

1. Distribute the \( 3 \) in the first term:
\[
3(-x) + 3(3) - 2x + 3 = -38
\]
This simplifies to:
\[
-3x + 9 - 2x + 3 = -38
\]

2. Combine like terms:
\[
-3x - 2x + 9 + 3 = -38
\]
This further simplifies to:
\[
-5x + 12 = -38
\]

3. Isolate the variable term by subtracting \( 12 \) from both sides:
\[
-5x + 12 - 12 = -38 - 12
\]
Which gives us:
\[
-5x = -50
\]

4. Divide by \(-5\) to solve for \( x \):
\[
x = \frac{-50}{-5} = 10
\]

Thus, the solution is:
\[
\boxed{10}
\]