$$ \begin{aligned} x\cdot4+5x\cdot3-3x\cdot2-13x+10 &= 0&& \text{simplify left side} \\[1 em]4x+15x-6x-13x+10 &= 0&& \\[1 em]10 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 10 = 0 } $ is FALSE, we conclude that the equation has no solution.
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