Is 5x-14=8x+4 a no solutions or what?

x = - 6

Step-by-step explanation:

Solve for x:

5 x - 14 = 8 x + 4

Subtract 8 x from both sides:

(5 x - 8 x) - 14 = (8 x - 8 x) + 4

5 x - 8 x = - 3 x:

-3 x - 14 = (8 x - 8 x) + 4

8 x - 8 x = 0:

-3 x - 14 = 4

Add 14 to both sides:

(14 - 14) - 3 x = 14 + 4

14 - 14 = 0:

-3 x = 4 + 14

4 + 14 = 18:

-3 x = 18

Divide both sides of - 3 x = 18 by - 3:

(-3 x) / (-3) = 18 / (-3)

(-3) / (-3) = 1:

x = 18 / (-3)

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

x = 6 / (-1)

Multiply numerator and denominator of 6 / (-1) by - 1:

Answer: x = - 6