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

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


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

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

Reorder the terms:
-0.8 + 0.4x + -0.6(2 + x) = 0.2x + -0.4
-0.8 + 0.4x + (2 * -0.6 + x * -0.6) = 0.2x + -0.4
-0.8 + 0.4x + (-1.2 + -0.6x) = 0.2x + -0.4

Reorder the terms:
-0.8 + -1.2 + 0.4x + -0.6x = 0.2x + -0.4

Combine like terms: -0.8 + -1.2 = -2
-2 + 0.4x + -0.6x = 0.2x + -0.4

Combine like terms: 0.4x + -0.6x = -0.2x
-2 + -0.2x = 0.2x + -0.4

Reorder the terms:
-2 + -0.2x = -0.4 + 0.2x

Solving
-2 + -0.2x = -0.4 + 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.
-2 + -0.2x + -0.2x = -0.4 + 0.2x + -0.2x

Combine like terms: -0.2x + -0.2x = -0.4x
-2 + -0.4x = -0.4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-2 + -0.4x = -0.4 + 0.0
-2 + -0.4x = -0.4

Add '2' to each side of the equation.
-2 + 2 + -0.4x = -0.4 + 2

Combine like terms: -2 + 2 = 0
0 + -0.4x = -0.4 + 2
-0.4x = -0.4 + 2

Combine like terms: -0.4 + 2 = 1.6
-0.4x = 1.6

Divide each side by '-0.4'.
x = -4

Simplifying
x = -4

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