$$ \begin{aligned} 2x\cdot3-3x\cdot2+5x-10 &= 0&& \text{simplify left side} \\[1 em]2x\cdot3-3x\cdot2+5x-10 &= 0&& \\[1 em]6x-6x+5x-10 &= 0&& \\[1 em]6x-6x+5x-10 &= 0&& \\[1 em]5x-10 &= 0&& \text{ move the constants to the right } \\[1 em]5x &= 10&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{10}{5}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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