To solve the equation [tex]\(7.2x - 1 = 7.2x\)[/tex], let's proceed step-by-step:
1. Understand the Equation:
We start with the equation:
[tex]\[
7.2x - 1 = 7.2x
\][/tex]
2. Move All Terms with [tex]\(x\)[/tex] to One Side:
To isolate the variable [tex]\(x\)[/tex], we can subtract [tex]\(7.2x\)[/tex] from both sides of the equation:
[tex]\[
7.2x - 1 - 7.2x = 7.2x - 7.2x
\][/tex]
3. Simplify:
Simplifying both sides, we get:
[tex]\[
0 - 1 = 0
\][/tex]
This reduces to:
[tex]\[
-1 = 0
\][/tex]
4. Analyze the Result:
We see that [tex]\(-1 = 0\)[/tex] is a contradiction. This means that there is no value of [tex]\(x\)[/tex] that will satisfy the given equation.
5. Conclusion:
Since we reached a contradiction, we conclude that the equation [tex]\(7.2x - 1 = 7.2x\)[/tex] has no solution.
Therefore, the final answer is:
[tex]\[
\boxed{\text{The equation } 7.2x - 1 = 7.2x \text{ has no solution.}}
\][/tex]
