4.1x+42.2=21.0-6.5x

Solution for 4.1x+42.2=21.0-6.5x equation:

Simplifying
4.1x + 42.2 = 21.0 + -6.5x

Reorder the terms:
42.2 + 4.1x = 21.0 + -6.5x

Solving
42.2 + 4.1x = 21.0 + -6.5x

Solving for variable 'x'.

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

Add '6.5x' to each side of the equation.
42.2 + 4.1x + 6.5x = 21.0 + -6.5x + 6.5x

Combine like terms: 4.1x + 6.5x = 10.6x
42.2 + 10.6x = 21.0 + -6.5x + 6.5x

Combine like terms: -6.5x + 6.5x = 0.0
42.2 + 10.6x = 21.0 + 0.0
42.2 + 10.6x = 21.0

Add '-42.2' to each side of the equation.
42.2 + -42.2 + 10.6x = 21.0 + -42.2

Combine like terms: 42.2 + -42.2 = 0.0
0.0 + 10.6x = 21.0 + -42.2
10.6x = 21.0 + -42.2

Combine like terms: 21.0 + -42.2 = -21.2
10.6x = -21.2

Divide each side by '10.6'.
x = -2

Simplifying
x = -2