How do I solve 4/5w -3/5 = 2w

Question

This is a math equation question. I have just learned it today.

Answer 1

ASSUMING that the first w has a coefficient (4/5):

 

-3/5 = w(2 - 4/5)

-3/5 = w(6/5)

after multiplying by 5 to clear fractions:

-3 = w(6)

 

w = -½ (after dividing both sides by 6).

 

I leave it to you to CHECK the answer.  Do remember, this is only for the case where the first w has a coefficient (4/5).

 

Answer 2

The answer: W = -1/2

 

Solution:

 

4/5 W- 3/5 = 2 W

 

Multiply both sides of the equation by 5

 

To get:  4 W - 3 = 10 W

 

Subtract 4 W from both sides of the equation

 

To get : -3 = 6 W

 

Divide by 6 both sides of the equation

 

To get -3/6 = W

 

Reduce the fraction -3/6 to -1/2. W = - 1/2

 

 

Verify by plugging -1/2 in place of W on both sides of the equation:

 

The left hand side  (LHS) = 4/5 * -1/2  - 3 /5

                                     = -2/5   -   3/5

                                     = -5/5

                                     = -1

 

The right hand side (RHS) = 2 * W

                                      = 2 * -1/2

                                       = -1

 

Both the LHS and RHS evaluate to -1 so they are equal and we have verified our answer.