Certainly! Let's solve the equation \(6x - 5 = 8x + 2\) step-by-step.
1. Move all terms involving \( x \) to one side of the equation and constants to the other side:
We need to isolate \( x \) on one side of the equation. To do this, we will move the term \( 8x \) from the right side to the left side and the constant term \(-5\) from the left side to the right side.
[tex]\[
6x - 8x = 2 + 5
\][/tex]
2. Simplify the equation:
Combine the \( x \)-terms on the left side and the constants on the right side.
[tex]\[
-2x = 7
\][/tex]
3. Solve for \( x \):
To isolate \( x \), divide both sides of the equation by \(-2\).
[tex]\[
x = \frac{7}{-2}
\][/tex]
4. Simplify the fraction:
Dividing 7 by -2 gives us the result.
[tex]\[
x = -3.5
\][/tex]
So, the solution to the equation [tex]\(6x - 5 = 8x + 2\)[/tex] is [tex]\( x = -3.5 \)[/tex].
