$$ \begin{aligned} 5(x+3) &= 2(2x+11)&& \text{simplify left and right hand side} \\[1 em]5x+15 &= 4x+22&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]5x-4x &= 22-15&& \text{simplify left and right hand side} \\[1 em]x &= 7&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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