Question
Correctly select the steps to solve the given equation.
3x−7−2x+5=6
*Remember to include to optional first step.*
3x−7−2x+5=6
*Remember to include to optional first step.*
Answers
GPT-4o mini
To solve the equation \(3x - 7 - 2x + 5 = 6\), here are the steps:
**Optional First Step: Combine like terms on the left side.**
1. Combine the \(3x\) and \(-2x\) terms:
\[
(3x - 2x) + (-7 + 5) = 6
\]
This simplifies to:
\[
x - 2 = 6
\]
2. Next, isolate \(x\) by adding \(2\) to both sides:
\[
x = 6 + 2
\]
This simplifies to:
\[
x = 8
\]
So the solution to the equation is \(x = 8\).
**Optional First Step: Combine like terms on the left side.**
1. Combine the \(3x\) and \(-2x\) terms:
\[
(3x - 2x) + (-7 + 5) = 6
\]
This simplifies to:
\[
x - 2 = 6
\]
2. Next, isolate \(x\) by adding \(2\) to both sides:
\[
x = 6 + 2
\]
This simplifies to:
\[
x = 8
\]
So the solution to the equation is \(x = 8\).