Answer:
[tex]x=y-22[/tex]
Step 1:
In order to solve this equation, we must subtract the y on both sides so the y could be cancelled out on the left and could move to the right side of the equation.
[tex]y=3x+22-2x\\=-y+3x+22-2x[/tex]
Step 2:
Then, we add 2x on the right side of the equation to cancel out the -2x and bring it to the left of the equation, where the y was before.
[tex]=-y+3x+22-2x\\2x=-y+3x+22[/tex]
Step 3:
Then, we do the same thing with 3x: subtract it from the right side and add it to the 2x, which becomes -x.
[tex]2x=-y+3x+22\\2x-3x=-y+22\\-x=-y+22[/tex]
Step 4:
Finally, we divide all the numbers by -1 to get our final answer! Reminder: we are doing all this because we have to isolate the x, since we are solving for x.
[tex]-x=-y+22\\\frac{-x}{-1} =\frac{-y}{-1}+\frac{22}{-1} \\x=y-22[/tex]
Our answer is x = y - 22. Hope this helps!
