$$ \begin{aligned} 4+7 &= 7(x+1)-3x&& \text{simplify left and right hand side} \\[1 em]11 &= 7x+7-3x&& \\[1 em]11 &= 4x+7&& \text{ swap the left and right side of the equation } \\[1 em]4x+7 &= 11&& \text{ move 7 to the right } \\[1 em]4x &= 11-7&& \\[1 em]4x &= 4&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{4}{4}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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