Hey there!
g(x) = 3x - 2
y = 3x - 2
12 = 3x - 3
3x - 3 = 12
ADD 3 to BOTH SIDES
3x - 3 + 3 = 12 + 3
CANCEL out: -3 + 3 because it give you 0
KEEP: 12 + 3 because it give you the value of the x-value
NEW EQUATION: 3x = 12 + 3
SIMPLIFY IT!
3x = 15
DIVIDE 3 to BOTH SIDES
3x/3 = 15/3
CANCEL out: 3/3 because it give you 1
KEEP: 15/3 because it help solve for the x-value
NEW EQUATION: x = 15/3
SIMPLIFY IT!
x = 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)