0.2x+0.5(6-x)=0.2(6)

Solution for 0.2x+0.5(6-x)=0.2(6) equation:

Simplifying
0.2x + 0.5(6 + -1x) = 0.2(6)
0.2x + (6 * 0.5 + -1x * 0.5) = 0.2(6)
0.2x + (3 + -0.5x) = 0.2(6)

Reorder the terms:
3 + 0.2x + -0.5x = 0.2(6)

Combine like terms: 0.2x + -0.5x = -0.3x
3 + -0.3x = 0.2(6)

Multiply 0.2 * 6
3 + -0.3x = 1.2

Solving
3 + -0.3x = 1.2

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -0.3x = 1.2 + -3

Combine like terms: 3 + -3 = 0
0 + -0.3x = 1.2 + -3
-0.3x = 1.2 + -3

Combine like terms: 1.2 + -3 = -1.8
-0.3x = -1.8

Divide each side by '-0.3'.
x = 6

Simplifying
x = 6