What Is The Solution To The Linear Equation? 2/3x-1/2=1/3+5/6

What is the solution to the linear equation? 2/3x-1/2=1/3+5/6

  Answer:

x = 5/3

Solution:

⅔x - ½ = ⅓ + 5/6

Transpose -½ and then change the sign

⅔x = ⅓ + 5/6 + ½

Get their LCD which is 6

⅔x = 2/6 + 5/6 + 3/6

Add the numerators and just copy the denominator

⅔x = 10/6 or 5/3

⅔x = 5/3

Cross multiply them

6x = 15

Divide 6 from both sides

6/6x = 15/6

Solve

x = 15/6
Or

x = 5/3