$$ \begin{aligned} -4(-3x-4) &= 6x+10&& \text{simplify left side} \\[1 em]-(-12x-16) &= 6x+10&& \\[1 em]12x+16 &= 6x+10&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 16 }$ to the right} \\[1 em]12x-6x &= 10-16&& \text{simplify left and right hand side} \\[1 em]6x &= -6&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{6}{6}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$

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