Answer:
x = 8
Step-by-step explanation:
Solve for x:
6 x + 9 = 4 x + 25
Subtract 4 x from both sides:
(6 x - 4 x) + 9 = (4 x - 4 x) + 25
6 x - 4 x = 2 x:
2 x + 9 = (4 x - 4 x) + 25
4 x - 4 x = 0:
2 x + 9 = 25
Subtract 9 from both sides:
2 x + (9 - 9) = 25 - 9
9 - 9 = 0:
2 x = 25 - 9
25 - 9 = 16:
2 x = 16
Divide both sides of 2 x = 16 by 2:
(2 x)/2 = 16/2
2/2 = 1:
x = 16/2
The gcd of 16 and 2 is 2, so 16/2 = (2×8)/(2×1) = 2/2×8 = 8:
Answer: x = 8
