Question

2 1/3x+1 1/2=1 2/3x+2 1/3

Answer 1

2 1/3x+1 1/2=1 2/3x+2 1/3
7/3x + 3/2 = 5/3x + 7/3   /*6
14x + 9 = 10x + 14
14x - 10x = 14 - 9
4x = 5
x = 5 : 4
x = 1,25

Answer 2

To solve the equation, let's start by simplifying the fractions:

2 1/3 = (2 * 3 + 1) / 3 = 7/3

1 1/2 = (1 * 2 + 1) / 2 = 3/2

1 2/3 = (1 * 3 + 2) / 3 = 5/3

Now we can rewrite the equation:

(7/3)x + 3/2 = (5/3)x + 7/3

To eliminate the fractions, we can multiply the entire equation by the least common multiple (LCM) of the denominators, which in this case is 6:

6 * [(7/3)x + 3/2] = 6 * [(5/3)x + 7/3]

Simplifying both sides gives:

14x + 9 = 10x + 14

Now let's isolate the x term by moving the constants to the other side:

14x - 10x = 14 - 9

4x = 5

Finally, divide both sides by 4 to solve for x:

x = 5/4

Therefore, the solution to the equation is x = 5/4.