−5(3x−3)+4x−5=

−12

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

To solve the equation \(-5(3x - 3) + 4x - 5 = -12\), we will first simplify the left-hand side.

1. Distribute \(-5\) across \((3x - 3)\):
\[
-5(3x) + (-5)(-3) = -15x + 15
\]
So the equation becomes:
\[
-15x + 15 + 4x - 5 = -12
\]

2. Combine like terms:
\[
-15x + 4x + 15 - 5 = -12
\]
This simplifies to:
\[
-11x + 10 = -12
\]

3. Next, isolate the term with \(x\) by subtracting 10 from both sides:
\[
-11x = -12 - 10
\]
Thus,
\[
-11x = -22
\]

4. Now, divide both sides by \(-11\):
\[
x = \frac{-22}{-11} = 2
\]

So, the solution to the equation is:
\[
\boxed{2}
\]