2x + 6 = 7x - 14, what is "x"

x = 4

Step-by-step explanation:

Solve for x:

2 x + 6 = 7 x - 14

Subtract 7 x from both sides:

(2 x - 7 x) + 6 = (7 x - 7 x) - 14

2 x - 7 x = - 5 x:

-5 x + 6 = (7 x - 7 x) - 14

7 x - 7 x = 0:

6 - 5 x = - 14

Subtract 6 from both sides:

(6 - 6) - 5 x = - 6 - 14

6 - 6 = 0:

-5 x = - 6 - 14

-6 - 14 = - 20:

-5 x = - 20

Divide both sides of - 5 x = - 20 by - 5:

(-5 x) / (-5) = (-20) / (-5)

(-5) / (-5) = 1:

x = (-20) / (-5)

The gcd of - 20 and - 5 is - 5, so (-20) / (-5) = (-5*4) / (-5*1) = (-5) / (-5) * 4 = 4:

Answer: x = 4