solve the equation algebraicly for the exact vaule of x CHECK YOUR WORK : THE equation IS 6  2/4 (x + 5) = 4x
Question
1 Answer

1. User Answers zrh2sfo
Answer:
x = 7/9
Stepbystep 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