Answer:
x = (-1)/23
Explanation:
Solve for x:
-3 x - 4 (x - 1) = 5 (2 x + 1) + 6 x
-4 (x - 1) = 4 - 4 x:
4 - 4 x - 3 x = 5 (2 x + 1) + 6 x
Grouping like terms, -3 x - 4 x + 4 = 4 + (-3 x - 4 x):
4 + (-3 x - 4 x) = 5 (2 x + 1) + 6 x
-3 x - 4 x = -7 x:
-7 x + 4 = 5 (2 x + 1) + 6 x
5 (2 x + 1) = 10 x + 5:
4 - 7 x = 10 x + 5 + 6 x
Grouping like terms, 10 x + 6 x + 5 = (10 x + 6 x) + 5:
4 - 7 x = (10 x + 6 x) + 5
10 x + 6 x = 16 x:
4 - 7 x = 16 x + 5
Subtract 16 x from both sides:
4 + (-7 x - 16 x) = (16 x - 16 x) + 5
-7 x - 16 x = -23 x:
-23 x + 4 = (16 x - 16 x) + 5
16 x - 16 x = 0:
4 - 23 x = 5
Subtract 4 from both sides:
(4 - 4) - 23 x = 5 - 4
4 - 4 = 0:
-23 x = 5 - 4
5 - 4 = 1:
-23 x = 1
Divide both sides by -23:
Answer: x = (-1)/23