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

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


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

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

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

Reorder the terms:
-0.4 + 0.6x = -0.2(-6 + x)
-0.4 + 0.6x = (-6 * -0.2 + x * -0.2)
-0.4 + 0.6x = (1.2 + -0.2x)

Solving
-0.4 + 0.6x = 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.
-0.4 + 0.6x + 0.2x = 1.2 + -0.2x + 0.2x

Combine like terms: 0.6x + 0.2x = 0.8x
-0.4 + 0.8x = 1.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-0.4 + 0.8x = 1.2 + 0.0
-0.4 + 0.8x = 1.2

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.8x = 1.2 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.8x = 1.2 + 0.4
0.8x = 1.2 + 0.4

Combine like terms: 1.2 + 0.4 = 1.6
0.8x = 1.6

Divide each side by '0.8'.
x = 2

Simplifying
x = 2

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