3 times a number (3x) plus 12 (+ 12) minus times the same number (- 5x) is 22.
HERE'S THE EQUATION:
[tex]3x+12-5x=22[/tex]
COMBINE LIKE TERMS (3x + -5x):
-2x +12 = 22
SUBTRACT 12 TO ISOLATE -2x:
-2x +12 = 22
-12 -12
= -2x = 10
DIVIDE BY 2 TO ISOLATE X:
[tex] \frac{-2x}{-2} = \frac{10}{-2} [/tex]
FINAL ANSWER:
x = -5
