Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
