What is this

8x+17=2x+35

Solve for x:

8 x + 17 = 2 x + 35

Subtract 2 x from both sides:

(8 x - 2 x) + 17 = (2 x - 2 x) + 35

8 x - 2 x = 6 x:

6 x + 17 = (2 x - 2 x) + 35

2 x - 2 x = 0:

6 x + 17 = 35

Subtract 17 from both sides:

6 x + (17 - 17) = 35 - 17

17 - 17 = 0:

6 x = 35 - 17

35 - 17 = 18:

6 x = 18

Divide both sides of 6 x = 18 by 6:

(6 x) / 6 = 18/6

6/6 = 1:

x = 18/6

The gcd of 18 and 6 is 6, so 18/6 = (6*3) / (6*1) = 6/6*3 = 3:

Answer: x = 3