.084x+.2(1-x)=.6(1)

Solution for .084x+.2(1-x)=.6(1) equation:

Simplifying
0.084x + 0.2(1 + -1x) = 0.6(1)
0.084x + (1 * 0.2 + -1x * 0.2) = 0.6(1)
0.084x + (0.2 + -0.2x) = 0.6(1)

Reorder the terms:
0.2 + 0.084x + -0.2x = 0.6(1)

Combine like terms: 0.084x + -0.2x = -0.116x
0.2 + -0.116x = 0.6(1)

Multiply 0.6 * 1
0.2 + -0.116x = 0.6

Solving
0.2 + -0.116x = 0.6

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -0.116x = 0.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -0.116x = 0.6 + -0.2
-0.116x = 0.6 + -0.2

Combine like terms: 0.6 + -0.2 = 0.4
-0.116x = 0.4

Divide each side by '-0.116'.
x = -3.448275862

Simplifying
x = -3.448275862