$$2x+3 = 4x-10$$
Answer
$$ x = \frac{13}{2} $$
Explanation
$$ \begin{aligned} 2x+3 &= 4x-10&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]2x-4x &= -10-3&& \text{simplify left and right hand side} \\[1 em]-2x &= -13&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-13}{-2}&& \\[1 em]x &= \frac{13}{2}&& \\[1 em] \end{aligned} $$
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