Question
$$10x-25 = 5(2x-5)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 10x-25 &= 5(2x-5)&& \text{simplify right side} \\[1 em]10x-25 &= 10x-25&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ -25 }$ to the right} \\[1 em]10x-10x &= -25+25&& \text{simplify left and right hand side} \\[1 em]10x-10x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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