To solve the equation [tex]\(3x - 9 = 5 + 3x\)[/tex], follow these steps:
1. Identify and simplify the equation:
[tex]\[
3x - 9 = 5 + 3x
\][/tex]
2. Move all [tex]\(x\)[/tex]-terms to one side of the equation:
Subtract [tex]\(3x\)[/tex] from both sides.
[tex]\[
3x - 3x - 9 = 5 + 3x - 3x
\][/tex]
3. Simplify both sides:
[tex]\[
-9 = 5
\][/tex]
4. Interpret the result:
The equation simplifies to [tex]\(-9 = 5\)[/tex], which is a contradiction. This means the equation has no solution. There is no value of [tex]\(x\)[/tex] that can satisfy the equation.
Therefore, the final conclusion is:
[tex]\[
\text{There is no solution to the equation } 3x - 9 = 5 + 3x.
\][/tex]
