$$5x-3 = 3x$$
Answer
$$ x = \frac{3}{2} $$
Explanation
$$ \begin{aligned} 5x-3 &= 3x&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]5x-3x &= 3&& \text{simplify left side} \\[1 em]2x &= 3&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{3}{2}&& \\[1 em] \end{aligned} $$
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