$$14.7 = x-\frac{1}{4}x$$

$$ \begin{aligned} 14.7 &= x-\frac{1}{4}x&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot14.7 &= 4x-4 \cdot \frac{1}{4}x&& \text{cancel out the denominators} \\[1 em]56 &= 4x-x&& \text{simplify right side} \\[1 em]56 &= 3x&& \text{ swap the left and right side of the equation } \\[1 em]3x &= 56&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{56}{3}&& \\[1 em] \end{aligned} $$

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