$$7x-7 = 9x-23$$
Answer
$$ x = 8 $$
Explanation
$$ \begin{aligned} 7x-7 &= 9x-23&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ -7 }$ to the right} \\[1 em]7x-9x &= -23+7&& \text{simplify left and right hand side} \\[1 em]-2x &= -16&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-16}{-2}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$
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