Question

6- х-1/2= 3-х/2 + х-2/3

Answer 1

6- х-1/2= 3-х/2 + х-2/3    /*6
36-x-3=18-3x+6x-4
3x-x-6x=3+18-4-36
-4x=-19
x=4.75

Answer 2

6 - x - 1/2 = 3 - x/2 + x - 2/3

First, let's combine like terms on the right side of the equation:

6 - x - 1/2 = 3 - x/2 + x - 2/3 6 - x - 1/2 = 3 + x - 2/3

Now, let's combine the constants on the right side of the equation:

6 - x - 1/2 = 3 + x - 2/3 6 - x - 1/2 = 3 - 2/3 + x

Now, let's combine the constants on the left side of the equation:

6 - x - 1/2 = 3 - 2/3 + x 5.5 - x = 3 - 2/3 + x

Now, let's isolate the variable x:

5.5 - x = 3 - 2/3 + x 5.5 - 3 = 2/3 + x + x 2.5 = 2/3 + 2x

To get rid of the fraction, we can multiply both sides of the equation by 3:

2.5 * 3 = 2/3 * 3 + 2x * 3 7.5 = 2 + 6x

Now, let's isolate the variable x:

7.5 = 2 + 6x 7.5 - 2 = 6x 5.5 = 6x x = 5.5/6 x = 11/12

So, the solution to the equation is x = 11/12.