Question
$$5(x-3)\cdot2 = 45$$
Answer
$$ x = \dfrac{15}{2} $$
Explanation
$$ \begin{aligned} 5(x-3)\cdot2 &= 45&& \text{simplify left side} \\[1 em](5x-15)\cdot2 &= 45&& \\[1 em]10x-30 &= 45&& \text{ move -30 to the right } \\[1 em]10x &= 45+30&& \\[1 em]10x &= 75&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= \frac{75}{10}&& \\[1 em]x &= \frac{15}{2}&& \\[1 em] \end{aligned} $$
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