$$9x+45 = 2x+3$$
Answer
$$ x = -6 $$
Explanation
$$ \begin{aligned} 9x+45 &= 2x+3&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 45 }$ to the right} \\[1 em]9x-2x &= 3-45&& \text{simplify left and right hand side} \\[1 em]7x &= -42&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= -\frac{42}{7}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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