Question

Solve for x: 3x−3=6x+18.

Answer 1

To solve the equation \( 3x - 3 = 6x + 18 \), follow these steps:

1. Start by isolating the variable terms on one side of the equation. You can do this by subtracting \( 3x \) from both sides:

\[
3x - 3 - 3x = 6x + 18 - 3x
\]

This simplifies to:

\[
-3 = 3x + 18
\]

2. Next, subtract \( 18 \) from both sides to isolate the term with \( x \):

\[
-3 - 18 = 3x + 18 - 18
\]

This gives:

\[
-21 = 3x
\]

3. Now, divide both sides by \( 3 \):

\[
x = \frac{-21}{3}
\]

This simplifies to:

\[
x = -7
\]

Thus, the solution is \( \boxed{-7} \).