Question

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

Answer 1

Answer:

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