Answer:
x = -9
Step-by-step explanation:
Solve for x:
2 (-3 x - 5) + 2 x = 26
2 (-3 x - 5) = -6 x - 10:
2 x + -6 x - 10 = 26
2 x - 6 x = -4 x:
-4 x - 10 = 26
Add 10 to both sides:
(10 - 10) - 4 x = 10 + 26
10 - 10 = 0:
-4 x = 26 + 10
26 + 10 = 36:
-4 x = 36
Divide both sides of -4 x = 36 by -4:
(-4 x)/(-4) = 36/(-4)
(-4)/(-4) = 1:
x = 36/(-4)
The gcd of 36 and -4 is 4, so 36/(-4) = (4×9)/(4 (-1)) = 4/4×9/(-1) = 9/(-1):
x = 9/(-1)
Multiply numerator and denominator of 9/(-1) by -1:
Answer: x = -9
