To solve this equation, we need to simplify and then isolate the variable x.
First, let's simplify the expression on the left side of the equation:
7/22 x + 1/3(x - 7/22 x) + 25 = x 7/22 x + 1/3(x) - 1/3(7/22 x) + 25 = x 7/22 x + 1/3 x - 7/66 x + 25 = x (7/22 + 1/3 - 7/66) x + 25 = x (21/66 + 22/66 - 7/66) x + 25 = x (36/66) x + 25 = x (6/11) x + 25 = x
Now, let's isolate the variable x by moving the terms without x to the other side of the equation:
(6/11) x + 25 = x (6/11) x - x = -25 (6/11 - 11/11) x = -25 (-5/11) x = -25 x = (-25) / (-5/11) x = 55
Therefore, the solution to the equation is x = 55.
To solve this equation, we need to simplify and then isolate the variable x.
First, let's simplify the expression on the left side of the equation:
7/22 x + 1/3(x - 7/22 x) + 25 = x
7/22 x + 1/3(x) - 1/3(7/22 x) + 25 = x
7/22 x + 1/3 x - 7/66 x + 25 = x
(7/22 + 1/3 - 7/66) x + 25 = x
(21/66 + 22/66 - 7/66) x + 25 = x
(36/66) x + 25 = x
(6/11) x + 25 = x
Now, let's isolate the variable x by moving the terms without x to the other side of the equation:
(6/11) x + 25 = x
(6/11) x - x = -25
(6/11 - 11/11) x = -25
(-5/11) x = -25
x = (-25) / (-5/11)
x = 55
Therefore, the solution to the equation is x = 55.