$$2x+2 = 4x+3$$
Answer
$$ x = -\frac{1}{2} $$
Explanation
$$ \begin{aligned} 2x+2 &= 4x+3&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]2x-4x &= 3-2&& \text{simplify left and right hand side} \\[1 em]-2x &= 1&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{1}{2}&& \\[1 em] \end{aligned} $$
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