2.1w+4.6=10.9w+35.2

Solution for 2.1w+4.6=10.9w+35.2 equation:

Simplifying
2.1w + 4.6 = 10.9w + 35.2

Reorder the terms:
4.6 + 2.1w = 10.9w + 35.2

Reorder the terms:
4.6 + 2.1w = 35.2 + 10.9w

Solving
4.6 + 2.1w = 35.2 + 10.9w

Solving for variable 'w'.

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

Add '-10.9w' to each side of the equation.
4.6 + 2.1w + -10.9w = 35.2 + 10.9w + -10.9w

Combine like terms: 2.1w + -10.9w = -8.8w
4.6 + -8.8w = 35.2 + 10.9w + -10.9w

Combine like terms: 10.9w + -10.9w = 0.0
4.6 + -8.8w = 35.2 + 0.0
4.6 + -8.8w = 35.2

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -8.8w = 35.2 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -8.8w = 35.2 + -4.6
-8.8w = 35.2 + -4.6

Combine like terms: 35.2 + -4.6 = 30.6
-8.8w = 30.6

Divide each side by '-8.8'.
w = -3.477272727

Simplifying
w = -3.477272727