$$\frac{3x}{4}-\frac{x}{8}\ge1\frac{1}{2}+3\frac{3}{4}$$
$x\geq \frac{42}{5}$
$$2\times 3x-x\geq 4\left(1\times 2+1\right)+2\left(3\times 4+3\right)$$
$$6x-x\geq 4\left(1\times 2+1\right)+2\left(3\times 4+3\right)$$
$$6x-x\geq 4\left(2+1\right)+2\left(3\times 4+3\right)$$
$$6x-x\geq 4\times 3+2\left(3\times 4+3\right)$$
$$6x-x\geq 12+2\left(3\times 4+3\right)$$
$$6x-x\geq 12+2\left(12+3\right)$$
$$6x-x\geq 12+2\times 15$$
$$6x-x\geq 12+30$$
$$6x-x\geq 42$$
$$5x\geq 42$$
$$x\geq \frac{42}{5}$$
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