4 (-8x + 5) = - 24x - 16

x = 9/2

Step-by-step explanation:

Solve for x:

4 (5 - 8 x) = - 24 x - 16

Expand out terms of the left hand side:

20 - 32 x = - 24 x - 16

Add 24 x to both sides:

24 x - 32 x + 20 = (24 x - 24 x) - 16

24 x - 24 x = 0:

24 x - 32 x + 20 = - 16

24 x - 32 x = - 8 x:

-8 x + 20 = - 16

Subtract 20 from both sides:

(20 - 20) - 8 x = - 20 - 16

20 - 20 = 0:

-8 x = - 20 - 16

-20 - 16 = - 36:

-8 x = - 36

Divide both sides of - 8 x = - 36 by - 8:

(-8 x) / (-8) = (-36) / (-8)

(-8) / (-8) = 1:

x = (-36) / (-8)

The gcd of - 36 and - 8 is - 4, so (-36) / (-8) = (-4*9) / (-4*2) = (-4) / (-4) * 9/2 = 9/2:

Answer: x = 9/2

x = 9/2

Step-by-step explanation:

-32x+20=-24x-16

-32x+24x+20=-16

-8x=-16-20

-8x=-36

x=9/2