To solve the equation [tex]\(3x - 5 = 2x + 6\)[/tex], follow these steps:
1. Move all terms involving [tex]\(x\)[/tex] to one side of the equation:
Subtract [tex]\(2x\)[/tex] from both sides to isolate the [tex]\(x\)[/tex] terms on the left-hand side:
[tex]\[
3x - 2x - 5 = 2x - 2x + 6
\][/tex]
Simplifying the terms, we get:
[tex]\[
x - 5 = 6
\][/tex]
2. Isolate [tex]\(x\)[/tex]:
Add 5 to both sides of the equation to solve for [tex]\(x\)[/tex]:
[tex]\[
x - 5 + 5 = 6 + 5
\][/tex]
Simplifying the terms, we get:
[tex]\[
x = 11
\][/tex]
Therefore, the solution to the equation [tex]\(3x - 5 = 2x + 6\)[/tex] is [tex]\(x = 11\)[/tex].
