$$ \begin{aligned} 7x+2(-9x+3) &= x-(-4x+6)&& \text{simplify left and right hand side} \\[1 em]7x-18x+6 &= x+4x-6&& \\[1 em]-11x+6 &= 5x-6&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-11x-5x &= -6-6&& \text{simplify left and right hand side} \\[1 em]-16x &= -12&& \text{ divide both sides by $ -16 $ } \\[1 em]x &= \frac{-12}{-16}&& \\[1 em]x &= \frac{3}{4}&& \\[1 em] \end{aligned} $$

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