Solve for x.

25x-6=24+5x

25x - 6 = 24 + 5x

First we collect terms

20x = 30

Now we divide by 20

x = 30/20

x = 1.5

Solve for x:

25 x - 6 = 5 x + 24

Subtract 5 x from both sides:

(25 x - 5 x) - 6 = (5 x - 5 x) + 24

25 x - 5 x = 20 x:

20 x - 6 = (5 x - 5 x) + 24

5 x - 5 x = 0:

20 x - 6 = 24

Add 6 to both sides:

20 x + (6 - 6) = 6 + 24

6 - 6 = 0:

20 x = 24 + 6

24 + 6 = 30:

20 x = 30

Divide both sides of 20 x = 30 by 20:

(20 x) / 20 = 30/20

20/20 = 1:

x = 30/20

The gcd of 30 and 20 is 10, so 30/20 = (10*3) / (10*2) = 10/10*3/2 = 3/2:

Answer: x = 3/2