Solve the equation: 20/x+10/x-10=10/3

x = 2

Step-by-step explanation:

20/x + 10/x - 10 = 10/3

add 10 from both sides of the equation

20/x+10/x = 10/3 + 10

add the fraction on the left

20/x + 10/x = 40/3

3x is the common denominator

3x (20/x) + 3x (10/3) = 40/3 (3x)

simplify

60 + 10x = 40 x

group like terms

60 = 40x - 10 x

60 = 30 x

divide both sides of the equation by 30

60/30 = 30 x / 30

2 = x

x = 9/4

Step-by-step explanation:

20/x + 10/x - 10 = 10/3, x ≠ 0

3x * (20/x + 10/x - 10) = 3x * (10/3)

60 + 30 - 30x = 10x

90 = 40x

x=90/40 = 9/4