Question

Solve for 2x + 12 - 3x = 27 show your work step by step

Answer 1

To solve the equation \( 2x + 12 - 3x = 27 \), we will follow these steps:

1. **Combine like terms on the left side**: We have \( 2x \) and \( -3x \) on the left side.

\[
2x - 3x + 12 = 27
\]

This simplifies to:

\[
-x + 12 = 27
\]

2. **Isolate the term with \( x \)**: We want to move the constant term (12) to the right side of the equation by subtracting 12 from both sides.

\[
-x + 12 - 12 = 27 - 12
\]

Simplifying this gives:

\[
-x = 15
\]

3. **Solve for \( x \)**: To solve for \( x \), multiply both sides of the equation by -1.

\[
x = -15
\]

Thus, the solution to the equation \( 2x + 12 - 3x = 27 \) is

\[
\boxed{-15}
\]