$$ \begin{aligned} -3x+1+10x &= x+4&& \text{simplify left side} \\[1 em]7x+1 &= x+4&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]7x-x &= 4-1&& \text{simplify left and right hand side} \\[1 em]6x &= 3&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{3}{6}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$

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