.3(x-2)+.4x=.2(x-6)

Solution for .3(x-2)+.4x=.2(x-6) equation:

Simplifying
0.3(x + -2) + 0.4x = 0.2(x + -6)

Reorder the terms:
0.3(-2 + x) + 0.4x = 0.2(x + -6)
(-2 * 0.3 + x * 0.3) + 0.4x = 0.2(x + -6)
(-0.6 + 0.3x) + 0.4x = 0.2(x + -6)

Combine like terms: 0.3x + 0.4x = 0.7x
-0.6 + 0.7x = 0.2(x + -6)

Reorder the terms:
-0.6 + 0.7x = 0.2(-6 + x)
-0.6 + 0.7x = (-6 * 0.2 + x * 0.2)
-0.6 + 0.7x = (-1.2 + 0.2x)

Solving
-0.6 + 0.7x = -1.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-0.6 + 0.7x + -0.2x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.7x + -0.2x = 0.5x
-0.6 + 0.5x = -1.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.6 + 0.5x = -1.2 + 0.0
-0.6 + 0.5x = -1.2

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.5x = -1.2 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.5x = -1.2 + 0.6
0.5x = -1.2 + 0.6

Combine like terms: -1.2 + 0.6 = -0.6
0.5x = -0.6

Divide each side by '0.5'.
x = -1.2

Simplifying
x = -1.2