Question

negative 6 x minus 17 equals 3 x plus 10

Answer 1

To solve the equation \(-6x - 17 = 3x + 10\), we can follow these steps:

1. **Add \(6x\) to both sides** to get all the \(x\) terms on one side:

\[
-6x + 6x - 17 = 3x + 6x + 10
\]

This simplifies to:

\[
-17 = 9x + 10
\]

2. **Subtract \(10\) from both sides** to isolate the \(x\) term:

\[
-17 - 10 = 9x + 10 - 10
\]

This simplifies to:

\[
-27 = 9x
\]

3. **Divide both sides by \(9\)** to solve for \(x\):

\[
x = \frac{-27}{9} = -3
\]

So, the solution to the equation is \(x = -3\).