Question
$$8x\cdot2+6x-8 = 8x\cdot2+6x-8$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} 8x\cdot2+6x-8 &= 8x\cdot2+6x-8&& \text{simplify left and right hand side} \\[1 em]16x+6x-8 &= 16x+6x-8&& \\[1 em]22x-8 &= 22x-8&& \text{move the $ \color{blue}{ 22x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]22x-22x &= -8+8&& \text{simplify left and right hand side} \\[1 em]22x-22x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
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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