Question
$$7d+4 = 10d-8$$
Answer
$$ d = 4 $$
Explanation
$$ \begin{aligned} 7d+4 &= 10d-8&& \text{move the $ \color{blue}{ 10d } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]7d-10d &= -8-4&& \text{simplify left and right hand side} \\[1 em]-3d &= -12&& \text{ divide both sides by $ -3 $ } \\[1 em]d &= \frac{-12}{-3}&& \\[1 em]d &= 4&& \\[1 em] \end{aligned} $$
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