10.4-8.2=3(x+1)-2x

Solution for 10.4-8.2=3(x+1)-2x equation:

Simplifying
10.4 + -8.2 = 3(x + 1) + -2x

Combine like terms: 10.4 + -8.2 = 2.2
2.2 = 3(x + 1) + -2x

Reorder the terms:
2.2 = 3(1 + x) + -2x
2.2 = (1 * 3 + x * 3) + -2x
2.2 = (3 + 3x) + -2x

Combine like terms: 3x + -2x = 1x
2.2 = 3 + 1x

Solving
2.2 = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.2 + -1x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
2.2 + -1x = 3 + 0
2.2 + -1x = 3

Add '-2.2' to each side of the equation.
2.2 + -2.2 + -1x = 3 + -2.2

Combine like terms: 2.2 + -2.2 = 0.0
0.0 + -1x = 3 + -2.2
-1x = 3 + -2.2

Combine like terms: 3 + -2.2 = 0.8
-1x = 0.8

Divide each side by '-1'.
x = -0.8

Simplifying
x = -0.8