0.6-0.2(x-4)=0.4(x-2)

Solution for 0.6-0.2(x-4)=0.4(x-2) equation:

Simplifying
0.6 + -0.2(x + -4) = 0.4(x + -2)

Reorder the terms:
0.6 + -0.2(-4 + x) = 0.4(x + -2)
0.6 + (-4 * -0.2 + x * -0.2) = 0.4(x + -2)
0.6 + (0.8 + -0.2x) = 0.4(x + -2)

Combine like terms: 0.6 + 0.8 = 1.4
1.4 + -0.2x = 0.4(x + -2)

Reorder the terms:
1.4 + -0.2x = 0.4(-2 + x)
1.4 + -0.2x = (-2 * 0.4 + x * 0.4)
1.4 + -0.2x = (-0.8 + 0.4x)

Solving
1.4 + -0.2x = -0.8 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
1.4 + -0.2x + -0.4x = -0.8 + 0.4x + -0.4x

Combine like terms: -0.2x + -0.4x = -0.6x
1.4 + -0.6x = -0.8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
1.4 + -0.6x = -0.8 + 0.0
1.4 + -0.6x = -0.8

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -0.6x = -0.8 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -0.6x = -0.8 + -1.4
-0.6x = -0.8 + -1.4

Combine like terms: -0.8 + -1.4 = -2.2
-0.6x = -2.2

Divide each side by '-0.6'.
x = 3.666666667

Simplifying
x = 3.666666667