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Given :
[tex]5(x−3)−6x≥−3[/tex]
Now opening brackets,
[tex]5x - 15 - 6x \geqslant - 3[/tex]
[tex] = > (5 - 6)x - 15 \geqslant - 3[/tex]
[tex] = > - x - 15 \geqslant - 3[/tex]
[tex] = > - x \geqslant - 3 + 15[/tex]
[tex] = > - x \geqslant (15 - 3)[/tex]
[tex] = > - x \geqslant 12[/tex]
[tex] = > x \leqslant - 12[/tex]
Hence the answer is [tex] x \leqslant - 12[/tex]