$$ \begin{aligned} 15x\cdot2-7x+4-(9x\cdot2-3x+6) &= 0&& \text{simplify left side} \\[1 em]30x-7x+4-(18x-3x+6) &= 0&& \\[1 em]23x+4-(15x+6) &= 0&& \\[1 em]23x+4-15x-6 &= 0&& \\[1 em]8x-2 &= 0&& \text{ move the constants to the right } \\[1 em]8x &= 2&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{2}{8}&& \\[1 em]x &= \frac{1}{4}&& \\[1 em] \end{aligned} $$

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