$$\frac { 4 x } { 5 } + x + 2 = \frac { x } { 2 } + x + 5$$
$x=10$
$$2\times 4x+10x+20=5x+10x+50$$
$$8x+10x+20=5x+10x+50$$
$$18x+20=5x+10x+50$$
$$18x+20=15x+50$$
$$18x+20-15x=50$$
$$3x+20=50$$
$$3x=50-20$$
$$3x=30$$
$$x=\frac{30}{3}$$
$$x=10$$
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