Answer:
x = -9
Step-by-step explanation:
Solve for x:
-7 x - 27 = 8 - (x - 19)
-(x - 19) = 19 - x:
-7 x - 27 = 19 - x + 8
Add like terms. 8 + 19 = 27:
-7 x - 27 = 27 - x
Add x to both sides:
x - 7 x - 27 = (x - x) + 27
x - x = 0:
x - 7 x - 27 = 27
x - 7 x = -6 x:
-6 x - 27 = 27
Add 27 to both sides:
(27 - 27) - 6 x = 27 + 27
27 - 27 = 0:
-6 x = 27 + 27
27 + 27 = 54:
-6 x = 54
Divide both sides of -6 x = 54 by -6:
(-6 x)/(-6) = 54/(-6)
(-6)/(-6) = 1:
x = 54/(-6)
The gcd of 54 and -6 is 6, so 54/(-6) = (6×9)/(6 (-1)) = 6/6×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
