1/2х+1/4(х-2)=х

To solve this equation, let's first simplify the left side of the equation by distributing the 1/4:

1/2x + 1/4x - 1/2 = x

Now, let's combine like terms:

(1/2 + 1/4)x - 1/2 = x (2/4 + 1/4)x - 1/2 = x (3/4)x - 1/2 = x

To solve for x, let's isolate x on one side of the equation:

(3/4)x - 1/2 = x (3/4)x - x = 1/2 (3/4 - 4/4)x = 1/2 (-1/4)x = 1/2

Now, we can solve for x by dividing both sides by -1/4:

x = (1/2) / (-1/4) x = (1/2) * (-4/1) x = -2

Therefore, the solution to the equation 1/2x + 1/4(х-2) = x is x = -2.