Question

Look at the equation.
−2(x+3)+5x=−15

Answer 1

To solve the equation \(-2(x+3)+5x=-15\), we will follow these steps:

1. Distribute \(-2\) across the term \((x + 3)\):
\[
-2(x + 3) = -2x - 6
\]

2. Substitute this back into the equation:
\[
-2x - 6 + 5x = -15
\]

3. Combine like terms:
\[
(-2x + 5x) - 6 = -15
\]
\[
3x - 6 = -15
\]

4. Add 6 to both sides to isolate the term with \(x\):
\[
3x - 6 + 6 = -15 + 6
\]
\[
3x = -9
\]

5. Divide both sides by 3 to solve for \(x\):
\[
x = \frac{-9}{3}
\]
\[
x = -3
\]

So the solution to the equation \(-2(x + 3) + 5x = -15\) is:
\[
\boxed{-3}
\]