Answer:
[tex]x \leqslant 7[/tex]
Step-by-step explanation:
Collect like terms
[tex]6x - 5 - 7x \geqslant - 12[/tex]
[tex] - x - 5 \geqslant - 12[/tex]
Move the constant to the right
[tex] - x \geqslant - 12 + 5[/tex]
Calculate the sum
[tex] - x \geqslant = - 7[/tex]
Change the signs on both sides of the inequality and flip the inequality sign
[tex]x \leqslant 7[/tex]
