What is 5.4w+8.2=9.8w-2.8

Simplifying

5.4w + 8.2 = 9.8w + - 2.8

Reorder the terms:

8.2 + 5.4w = 9.8w + - 2.8

Reorder the terms:

8.2 + 5.4w = - 2.8 + 9.8w

Solving

8.2 + 5.4w = - 2.8 + 9.8w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-9.8w' to each side of the equation.

8.2 + 5.4w + - 9.8w = - 2.8 + 9.8w + - 9.8w

Combine like terms: 5.4w + - 9.8w = - 4.4w

8.2 + - 4.4w = - 2.8 + 9.8w + - 9.8w

Combine like terms: 9.8w + - 9.8w = 0.0

8.2 + - 4.4w = - 2.8 + 0.0

8.2 + - 4.4w = - 2.8

Add '-8.2' to each side of the equation.

8.2 + - 8.2 + - 4.4w = - 2.8 + - 8.2

Combine like terms: 8.2 + - 8.2 = 0.0

0.0 + - 4.4w = - 2.8 + - 8.2

-4.4w = - 2.8 + - 8.2

Combine like terms: - 2.8 + - 8.2 = - 11

-4.4w = - 11

Divide each side by '-4.4'.

w = 2.5

Simplifying

w = 2.5