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
