$$4x = 11x+\frac{44}{2}x$$

$$ \begin{aligned} 4x &= 11x+\frac{44}{2}x&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot4x &= 2\cdot11x+2 \cdot \frac{44}{2}x&& \text{cancel out the denominators} \\[1 em]8x &= 22x+44x&& \text{simplify right side} \\[1 em]8x &= 66x&& \text{move the $ \color{blue}{ 66x } $ to the left side} \\[1 em]8x-66x &= 0&& \text{simplify left side} \\[1 em]-58x &= 0&& \text{ divide both sides by $ -58 $ } \\[1 em]x &= \frac{0}{-58}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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