Question

4(-8x + 5) = -24x – 16

Answer 1

Answer:

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

Answer 2

Answer:

x = 9/2

Step-by-step explanation:

-32x+20=-24x-16

-32x+24x+20=-16

-8x=-16-20

-8x=-36

x=9/2