Question

2х+1\4-1=х+5\12-х\6 В дробях

Answer 1

2х-х+х/6=5/12-1/4+1
х+х/6=5-3+12все это /12
7х/6=14/12 /×6
7х=7 /:7
х=1

Answer 2

To solve the equation with fractions, we need to find a common denominator for all the fractions involved. In this case, the common denominator will be 12. Let's proceed step by step:

Step 1: Find a common denominator of 12 for all the fractions in the equation.

The given equation is: (2x + 1/4) - 1 = (x + 5/12) - x/6

The common denominator for 1/4, 5/12, and x/6 is 12.

Step 2: Rewrite the fractions with the common denominator of 12.

(2x + 3/12) - 1 = (x + 5/12) - 2x/12

Step 3: Combine like terms on each side of the equation.

(2x + 3/12) - 1 = (x + 5/12) - 2x/12

Step 4: Simplify both sides of the equation.

(2x + 3/12) - 12/12 = (x + 5/12) - 2x/12

Step 5: Continue simplification.

(2x + 3 - 12)/12 = (x + 5 - 2x)/12

Step 6: Combine like terms again.

(2x - 9)/12 = (5 - x)/12

Step 7: Now, we can remove the common denominator (12) from both sides by multiplying both sides by 12.

12 * (2x - 9)/12 = 12 * (5 - x)/12

Step 8: Simplify further.

2x - 9 = 5 - x

Step 9: Move all the x terms to one side and the constant terms to the other side.

2x + x = 5 + 9

Step 10: Combine like terms.

3x = 14

Step 11: Finally, solve for x by dividing both sides by 3.

x = 14/3

So, the solution to the equation with fractions is x = 14/3.