To solve for x, we first need to distribute the 2/7 on the left side and the 5/7 on the right side:
(8/7)x + 8/7 = 9 - 5/7x + 10/7
Next, we can combine like terms on both sides of the equation:
(8/7 + 5/7)x = 9 - 10/7 - 8/7(13/7)x = 9 - 18/7
Now, we can find a common denominator and simplify:
(13/7)x = (63/7) - (18/7)(13/7)x = 45/7
To solve for x, we can multiply both sides by the reciprocal of (13/7) which is (7/13):
x = (45/7) * (7/13)x = 45/13
Therefore, the solution to the equation 2/7(4x+4) = 9 - 5/7(x-2) is x = 45/13.
To solve for x, we first need to distribute the 2/7 on the left side and the 5/7 on the right side:
(8/7)x + 8/7 = 9 - 5/7x + 10/7
Next, we can combine like terms on both sides of the equation:
(8/7 + 5/7)x = 9 - 10/7 - 8/7
(13/7)x = 9 - 18/7
Now, we can find a common denominator and simplify:
(13/7)x = (63/7) - (18/7)
(13/7)x = 45/7
To solve for x, we can multiply both sides by the reciprocal of (13/7) which is (7/13):
x = (45/7) * (7/13)
x = 45/13
Therefore, the solution to the equation 2/7(4x+4) = 9 - 5/7(x-2) is x = 45/13.