Answer:
x = 2
Step-by-step explanation:
Solve for x:
5 x - 5 = 3 x - 9
Subtract 3 x from both sides:
(5 x - 3 x) - 5 = (3 x - 3 x) - 9
5 x - 3 x = 2 x:
2 x - 5 = (3 x - 3 x) - 9
3 x - 3 x = 0:
2 x - 5 = -9
Add 5 to both sides:
2 x + (5 - 5) = 5 - 9
5 - 5 = 0:
2 x = 5 - 9
5 - 9 = -4:
2 x = -4
Divide both sides of 2 x = -4 by 2:
(2 x)/2 = (-4)/2
2/2 = 1:
x = (-4)/2
The gcd of -4 and 2 is 2, so (-4)/2 = (2 (-2))/(2×1) = 2/2×-2 = -2:
Answer: x = -2
