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Collect like terms
[tex] \frac{3}{5} x - 6 = 6 \\ [/tex]
Add sides 6
[tex] \frac{3}{5} x - 6 + 6 = 6 + 6 \\ [/tex]
[tex] \frac{3}{5} x = 12 \\ [/tex]
Multiply sides by 5
[tex]5 \times \frac{3}{5} x = 5 \times 12 \\ [/tex]
[tex]3x = 12 \times 5[/tex]
[tex]3x = 60[/tex]
Divide sides by 3
[tex] \frac{3x}{3} = \frac{60}{3} \\ [/tex]
[tex]x = 20[/tex]
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CHECK :
[tex] \frac{3}{5} (20) - 6 = 6 \\ [/tex]
[tex]3( \frac{20}{5} ) - 6 = 6 \\ [/tex]
[tex]3(4) - 6 = 6[/tex]
[tex]12 - 6 = 6[/tex]
[tex]6 = 6[/tex]
Thus the solution is correct.
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