.1(x+6)+1.1(x-5)=

Solution for .1(x+6)+1.1(x-5)= equation:

Simplifying
0.1(x + 6) + 1.1(x + -5) = 0

Reorder the terms:
0.1(6 + x) + 1.1(x + -5) = 0
(6 * 0.1 + x * 0.1) + 1.1(x + -5) = 0
(0.6 + 0.1x) + 1.1(x + -5) = 0

Reorder the terms:
0.6 + 0.1x + 1.1(-5 + x) = 0
0.6 + 0.1x + (-5 * 1.1 + x * 1.1) = 0
0.6 + 0.1x + (-5.5 + 1.1x) = 0

Reorder the terms:
0.6 + -5.5 + 0.1x + 1.1x = 0

Combine like terms: 0.6 + -5.5 = -4.9
-4.9 + 0.1x + 1.1x = 0

Combine like terms: 0.1x + 1.1x = 1.2x
-4.9 + 1.2x = 0

Solving
-4.9 + 1.2x = 0

Solving for variable 'x'.

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

Add '4.9' to each side of the equation.
-4.9 + 4.9 + 1.2x = 0 + 4.9

Combine like terms: -4.9 + 4.9 = 0.0
0.0 + 1.2x = 0 + 4.9
1.2x = 0 + 4.9

Combine like terms: 0 + 4.9 = 4.9
1.2x = 4.9

Divide each side by '1.2'.
x = 4.083333333

Simplifying
x = 4.083333333