$$ \begin{aligned} 3(\frac{2}{3}+x) &= 2(2x+5)-4&& \text{simplify left and right hand side} \\[1 em]3 \cdot \frac{3x+2}{3} &= 4x+10-4&& \\[1 em]3x+2 &= 4x+6&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]3x-4x &= 6-2&& \text{simplify left and right hand side} \\[1 em]-x &= 4&& \text{switch signs on both sides} \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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