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

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

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

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

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

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

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

Reorder the terms:
1.8 + 0.4x = -0.6 + x

Solving
1.8 + 0.4x = -0.6 + x

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.
1.8 + 0.4x + -1x = -0.6 + x + -1x

Combine like terms: 0.4x + -1x = -0.6x
1.8 + -0.6x = -0.6 + x + -1x

Combine like terms: x + -1x = 0
1.8 + -0.6x = -0.6 + 0
1.8 + -0.6x = -0.6

Add '-1.8' to each side of the equation.
1.8 + -1.8 + -0.6x = -0.6 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + -0.6x = -0.6 + -1.8
-0.6x = -0.6 + -1.8

Combine like terms: -0.6 + -1.8 = -2.4
-0.6x = -2.4

Divide each side by '-0.6'.
x = 4

Simplifying
x = 4