Answer:
x = -3
Explanation:
Solve for x:
-5 x + 4 = 2 x + 25
Subtract 2 x from both sides:
(-5 x - 2 x) + 4 = (2 x - 2 x) + 25
-5 x - 2 x = -7 x:
-7 x + 4 = (2 x - 2 x) + 25
2 x - 2 x = 0:
-7 x + 4 = 25
Subtract 4 from both sides:
(4 - 4) - 7 x = 25 - 4
4 - 4 = 0:
-7 x = 25 - 4
25 - 4 = 21:
-7 x = 21
Divide both sides of -7 x = 21 by -7:
(-7 x)/(-7) = 21/(-7)
(-7)/(-7) = 1:
x = 21/(-7)
The gcd of 21 and -7 is 7, so 21/(-7) = (7×3)/(7 (-1)) = 7/7×3/(-1) = 3/(-1):
x = 3/(-1)
Multiply numerator and denominator of 3/(-1) by -1:
Answer: x = -3