Question

3 times a number plus 12 minus 5 times the same number is 22

Answer 1

3 times a number (3x) plus 12 (+ 12) minus times the same number (- 5x) is 22.

HERE'S THE EQUATION:

 $3x+12-5x=22$

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:

$\frac{-2x}{-2} = \frac{10}{-2}$

FINAL ANSWER:
x = -5

Answer 2

The number is 5 because 5 times 3 is 15 plus 12 - 5 is 22 :0