2/3 - (x+2)/6 = (5x-2)/2

Question

Please help! not sure how to start this

Answer 1

2/3 - (x + 2)/6 = (5x - 2)/2     Multiply by 6 to clear the denominators.

 

4 - (x + 2) = 3(5x - 2)            Use distribution property to remove parentheses

 

4 - x - 2 = 15x - 6                  Combine like terms on left

 

2 - x = 15 x - 6                      Add x to both sides

 

2 = 16x - 6                            Add 6 to both sides

 

8 = 16x                                Divide both sides by 16

 

8/16 = x                               Reduce fraction

 

1/2 = x

 

2/3 - (1/2 + 2)/6 = (5*1/2 - 2)/2

 

2/3 - (5/2)/6 = (5/2 - 2)/2

 

2/3 - (5/2)/6 = (1/2)2

 

2/3 - 5/12 = 1/4

 

8/12 - 5/12 = 3/12

 

3/12 = 3/12     Check

 

In these types of problems, always multiply by common denominator to clear fractions first and us common denominator to check.