$$\frac{ x-12 }{ 5 } + \frac{ 3x }{ 4 } = \frac{ x+4 }{ 2 }$$
$x = \frac{88}{9} = 9\frac{7}{9} \approx 9.777777778$
$$4\left(x-12\right)+5\times 3x=10\left(x+4\right)$$
$$4x-48+5\times 3x=10\left(x+4\right)$$
$$4x-48+15x=10\left(x+4\right)$$
$$19x-48=10\left(x+4\right)$$
$$19x-48=10x+40$$
$$19x-48-10x=40$$
$$9x-48=40$$
$$9x=40+48$$
$$9x=88$$
$$x=\frac{88}{9}$$
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