
1/12+1/4-1/3х+1/3=1/2+1/2х


Ответы на вопрос

-1/3х-1/2х=1/2-1/12-1/4-1/3
-2/6х-3/6х=6/12-1/12-3/12-4/12
-5/6х=-2/12
х=-15/6:-2/12
х=-30/12:-2/12
х=15







To solve the equation, we need to find the value of "x." Let's begin by simplifying the equation step by step:
1/12 + 1/4 - (1/3) * x + 1/3 = 1/2 + (1/2) * x
First, let's get rid of the fractions by finding a common denominator. The common denominator for 12, 4, 3, and 2 is 12. So, we'll rewrite the equation:
(1/12) + (3/12) - (4/12) * x + (4/12) = (6/12) + (6/12) * x
Next, let's combine like terms:
(4/12) - (4/12) * x + (4/12) = (6/12) * x
Now, let's continue simplifying:
(4/12) * (1 - x + 1) = (6/12) * x
(4/12) * (2 - x) = (6/12) * x
Now, we can cancel out the common factor of 4/12 from both sides:
2 - x = 3/2 * x
To solve for "x," let's isolate the variable on one side. Let's add "x" to both sides:
2 = 3/2 * x + x
Now, we need to find a common denominator for 3/2 and 2, which is 2. Rewrite the equation:
2 = (3/2) * x + (2/2) * x
2 = (3/2 + 2/2) * x
2 = (5/2) * x
Now, isolate "x" by dividing both sides by 5/2:
x = 2 / (5/2)
To divide by a fraction, multiply by its reciprocal:
x = 2 * (2/5)
x = 4/5
So, the solution to the equation is x = 4/5.


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