Answer:
x = 3
Explanation:
Solve for x:
6 x + 1 + 1 + 8 = 7 x + 2 x + 1
Grouping like terms, 6 x + 1 + 1 + 8 = 6 x + (1 + 1 + 8):
(6 x + (1 + 1 + 8)) = 7 x + 2 x + 1
1 + 1 + 8 = 10:
6 x + 10 = 7 x + 2 x + 1
Grouping like terms, 7 x + 2 x + 1 = (7 x + 2 x) + 1:
6 x + 10 = ((7 x + 2 x) + 1)
7 x + 2 x = 9 x:
6 x + 10 = 9 x + 1
Subtract 9 x from both sides:
(6 x - 9 x) + 10 = (9 x - 9 x) + 1
6 x - 9 x = -3 x:
-3 x + 10 = (9 x - 9 x) + 1
9 x - 9 x = 0:
-3 x + 10 = 1
Subtract 10 from both sides:
(10 - 10) - 3 x = 1 - 10
10 - 10 = 0:
-3 x = 1 - 10
1 - 10 = -9:
-3 x = -9
Divide both sides of -3 x = -9 by -3:
(-3 x)/(-3) = (-9)/(-3)
(-3)/(-3) = 1:
x = (-9)/(-3)
The gcd of -9 and -3 is -3, so (-9)/(-3) = (-3×3)/(-3×1) = (-3)/(-3)×3 = 3:
Answer: x = 3