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

Solution for 0.3(x-2)+0.4=-0.2(x-6) equation:

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

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

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

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

Reorder the terms:
-0.2 + 0.3x = -0.2(-6 + x)
-0.2 + 0.3x = (-6 * -0.2 + x * -0.2)
-0.2 + 0.3x = (1.2 + -0.2x)

Solving
-0.2 + 0.3x = 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.
-0.2 + 0.3x + 0.2x = 1.2 + -0.2x + 0.2x

Combine like terms: 0.3x + 0.2x = 0.5x
-0.2 + 0.5x = 1.2 + -0.2x + 0.2x

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

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 0.5x = 1.2 + 0.2

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

Combine like terms: 1.2 + 0.2 = 1.4
0.5x = 1.4

Divide each side by '0.5'.
x = 2.8

Simplifying
x = 2.8