To solve this equation:
[tex]-6x+3=21[/tex]We can proceed as follows:
Subtract 3 from both sides of the equation:
[tex]-6x+3=21\rightarrow-6x+3-3=21-3[/tex][tex]-6x+0=21-3\rightarrow-6x=18[/tex]Divide both sides by -6:
[tex]\frac{-6}{-6}x=\frac{18}{-6}\rightarrow x=-3[/tex]So, the solution for the equation is x = -3.