$$-3(4x+3)+4(6x+1) = 43$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} -3(4x+3)+4(6x+1) &= 43&& \text{simplify left side} \\[1 em]-(12x+9)+24x+4 &= 43&& \\[1 em]-12x-9+24x+4 &= 43&& \\[1 em]12x-5 &= 43&& \text{ move -5 to the right } \\[1 em]12x &= 43+5&& \\[1 em]12x &= 48&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= \frac{48}{12}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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