Answer:
x = 7/9
Step-by-step explanation:
Solve for x:
(-x - 5)/2 + 6 = 4 x
Put each term in (-x - 5)/2 + 6 over the common denominator 2: (-x - 5)/2 + 6 = 12/2 + (-x - 5)/2:
12/2 + (-x - 5)/2 = 4 x
12/2 + (-x - 5)/2 = ((-x - 5) + 12)/2:
(-x - 5 + 12)/2 = 4 x
Grouping like terms, -x - 5 + 12 = (12 - 5) - x:
((12 - 5) - x)/2 = 4 x
12 - 5 = 7:
(7 - x)/2 = 4 x
Multiply both sides by 2:
(2 (7 - x))/2 = 2×4 x
(2 (7 - x))/2 = 2/2×(7 - x) = 7 - x:
7 - x = 2×4 x
2×4 = 8:
7 - x = 8 x
Subtract 8 x from both sides:
7 + (-x - 8 x) = 8 x - 8 x
-x - 8 x = -9 x:
-9 x + 7 = 8 x - 8 x
8 x - 8 x = 0:
7 - 9 x = 0
Subtract 7 from both sides:
(7 - 7) - 9 x = -7
7 - 7 = 0:
-9 x = -7
Divide both sides of -9 x = -7 by -9:
(-9 x)/(-9) = (-7)/(-9)
(-9)/(-9) = 1:
x = (-7)/(-9)
Multiply numerator and denominator of (-7)/(-9) by -1:
Answer: x = 7/9
