0.6(x+1)+0.2(6-x)=

Solution for 0.6(x+1)+0.2(6-x)= equation:

Simplifying
0.6(x + 1) + 0.2(6 + -1x) = 0

Reorder the terms:
0.6(1 + x) + 0.2(6 + -1x) = 0
(1 * 0.6 + x * 0.6) + 0.2(6 + -1x) = 0
(0.6 + 0.6x) + 0.2(6 + -1x) = 0
0.6 + 0.6x + (6 * 0.2 + -1x * 0.2) = 0
0.6 + 0.6x + (1.2 + -0.2x) = 0

Reorder the terms:
0.6 + 1.2 + 0.6x + -0.2x = 0

Combine like terms: 0.6 + 1.2 = 1.8
1.8 + 0.6x + -0.2x = 0

Combine like terms: 0.6x + -0.2x = 0.4x
1.8 + 0.4x = 0

Solving
1.8 + 0.4x = 0

Solving for variable 'x'.

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

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 0.4x = 0 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 0.4x = 0 + -1.8
0.4x = 0 + -1.8

Combine like terms: 0 + -1.8 = -1.8
0.4x = -1.8

Divide each side by '0.4'.
x = -4.5

Simplifying
x = -4.5