$$x+500+x+ \frac{ 1 }{ 5 } \times (x+50+x)=6000$$
$x = \frac{4575}{2} = 2287\frac{1}{2} = 2287.5$
$$2x+500+\frac{1}{5}\left(x+50+x\right)=6000$$
$$2x+500+\frac{1}{5}\left(2x+50\right)=6000$$
$$2x+500+\frac{1}{5}\times 2x+\frac{1}{5}\times 50=6000$$
$$2x+500+\frac{2}{5}x+\frac{1}{5}\times 50=6000$$
$$2x+500+\frac{2}{5}x+\frac{50}{5}=6000$$
$$2x+500+\frac{2}{5}x+10=6000$$
$$\frac{12}{5}x+500+10=6000$$
$$\frac{12}{5}x+510=6000$$
$$\frac{12}{5}x=6000-510$$
$$\frac{12}{5}x=5490$$
$$x=5490\times \frac{5}{12}$$
$$x=\frac{5490\times 5}{12}$$
$$x=\frac{27450}{12}$$
$$x=\frac{4575}{2}$$
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