Question

How do you do this?!
(2w-1)/(4)=(2-w)

Answer 1

`w = (3)/(2)`

Explanation:

Let's solve:

`(2w - 1)/(4) =2−w`

Step 1: Simplify both sides of the equation.

`(2w - 1)/(4) =2−w \\ (1)/(2) w+ ( - 1)/(4) =2+−w(Distribute) \\ (1)/(2) w+ ( - 1)/(4) =−w+2`

Step 2: Add w to both sides.

`(1)/(2) w+ ( - 1)/(4) +w=−w+2+w\\ (3)/(2) w+ ( - 1)/(4) =2`

Step 3: Add 1/4 to both sides.

`(3)/(2) w+ ( - 1)/(4) + (1)/(4) =2+ (1)/(4) \\ (3)/(2) w= (9)/(4)`

Step 4: Multiply both sides by 2/3.

`( (2)/(3) )*( (3)/(2) w)=( (2)/(3) )*( (9)/(4) )`

Therefore, the answer will be w = 3/2.

Answer 2

w = 3 is your answer.

Explanation:

You want to get w by itself.

(2w - 1)/(4) = 2 - w You will add the w on both sides.

(3w - 1)/(4) = 2 You will multiply 4 on both sides.

3w - 1 = 8 You will add 1 on both sides.

3w = 9 You will divide 3 on both sides.

w = 3 is your answer.