Answer:
x = 5
Step-by-step explanation:
Solve for x:
1 - x = 16 - 4 x
Add 4 x to both sides:
4 x - x + 1 = (4 x - 4 x) + 16
4 x - 4 x = 0:
4 x - x + 1 = 16
4 x - x = 3 x:
3 x + 1 = 16
Subtract 1 from both sides:
3 x + (1 - 1) = 16 - 1
1 - 1 = 0:
3 x = 16 - 1
16 - 1 = 15:
3 x = 15
Divide both sides of 3 x = 15 by 3:
(3 x)/3 = 15/3
3/3 = 1:
x = 15/3
The gcd of 15 and 3 is 3, so 15/3 = (3×5)/(3×1) = 3/3×5 = 5:
Answer: x = 5
