To determine the number of solutions for the equation [tex]\(2x = 5 + 2x\)[/tex], follow these detailed steps:
1. Subtract [tex]\(2x\)[/tex] from both sides:
[tex]\[
2x - 2x = 5 + 2x - 2x
\][/tex]
2. Simplify the equation:
[tex]\[
0 = 5
\][/tex]
3. What remains is a contradiction (0 cannot equal 5), so the equation has no solution.
Thus, the number of solutions for the equation [tex]\(2x = 5 + 2x\)[/tex] is 0.
Therefore, the correct answer is:
A. 0
