How do I solve in multi step problems this equation:2/3x+8=20 what does x equal

Guest
Apr 17, 2017

#1
**0 **

Solve for x:

(2 x)/3 + 8 = 20

Put each term in (2 x)/3 + 8 over the common denominator 3: (2 x)/3 + 8 = (2 x)/3 + 24/3:

(2 x)/3 + 24/3 = 20

(2 x)/3 + 24/3 = (2 x + 24)/3:

(2 x + 24)/3 = 20

Multiply both sides of (2 x + 24)/3 = 20 by 3:

(3 (2 x + 24))/3 = 3×20

(3 (2 x + 24))/3 = 3/3×(2 x + 24) = 2 x + 24:

2 x + 24 = 3×20

3×20 = 60:

2 x + 24 = 60

Subtract 24 from both sides:

2 x + (24 - 24) = 60 - 24

24 - 24 = 0:

2 x = 60 - 24

60 - 24 = 36:

2 x = 36

Divide both sides by 2

**x =36/2 = 18**

Guest
Apr 17, 2017