$$\left. \begin{array} { l } { \frac { 5 x } { 3 } + 1 = \frac { 7 x } { 10 } + 5 } \end{array} \right.$$
$x = \frac{120}{29} = 4\frac{4}{29} \approx 4.137931034$
$$10\times 5x+30=3\times 7x+150$$
$$50x+30=3\times 7x+150$$
$$50x+30=21x+150$$
$$50x+30-21x=150$$
$$29x+30=150$$
$$29x=150-30$$
$$29x=120$$
$$x=\frac{120}{29}$$
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