Answer:
x = -2
Explanation:
Solve for x:
-5 x - 10 = -(x + 4) + 2
-(x + 4) = -x - 4:
-5 x - 10 = (-x - 4) + 2
Grouping like terms, -x - 4 + 2 = -x + (2 - 4):
-5 x - 10 = (-x + (2 - 4))
2 - 4 = -2:
-5 x - 10 = -x + -2
Add x to both sides:
x - 5 x - 10 = (x - x) - 2
x - x = 0:
x - 5 x - 10 = -2
Grouping like terms, x - 5 x - 10 = (-5 x + x) - 10:
((-5 x + x) - 10) = -2
x - 5 x = -4 x:
-4 x - 10 = -2
Add 10 to both sides:
(10 - 10) - 4 x = 10 - 2
10 - 10 = 0:
-4 x = 10 - 2
10 - 2 = 8:
-4 x = 8
Divide both sides of -4 x = 8 by -4:
(-4 x)/(-4) = 8/(-4)
(-4)/(-4) = 1:
x = 8/(-4)
The gcd of 8 and -4 is 4, so 8/(-4) = (4×2)/(4 (-1)) = 4/4×2/(-1) = 2/(-1):
x = 2/(-1)
Multiply numerator and denominator of 2/(-1) by -1:
Answer: x = -2