$$ \begin{aligned} -7 &= -3-x&& \text{ swap the left and right side of the equation } \\[1 em]-3-x &= -7&& \text{ move -3 to the right } \\[1 em]-x &= -7+3&& \\[1 em]-x &= -4&& \text{switch signs on both sides} \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$