0.3(x+2)-0.5(x+2)=0.2x-0.4

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Solution for 0.3(x+2)-0.5(x+2)=0.2x-0.4 equation: 


Simplifying
0.3(x + 2) + -0.5(x + 2) = 0.2x + -0.4

Reorder the terms:
0.3(2 + x) + -0.5(x + 2) = 0.2x + -0.4
(2 * 0.3 + x * 0.3) + -0.5(x + 2) = 0.2x + -0.4
(0.6 + 0.3x) + -0.5(x + 2) = 0.2x + -0.4

Reorder the terms:
0.6 + 0.3x + -0.5(2 + x) = 0.2x + -0.4
0.6 + 0.3x + (2 * -0.5 + x * -0.5) = 0.2x + -0.4
0.6 + 0.3x + (-1 + -0.5x) = 0.2x + -0.4

Reorder the terms:
0.6 + -1 + 0.3x + -0.5x = 0.2x + -0.4

Combine like terms: 0.6 + -1 = -0.4
-0.4 + 0.3x + -0.5x = 0.2x + -0.4

Combine like terms: 0.3x + -0.5x = -0.2x
-0.4 + -0.2x = 0.2x + -0.4

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

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

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

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

Solving
-0.2x = 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.
-0.2x + -0.2x = 0.2x + -0.2x

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

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

Divide each side by '-0.4'.
x = 0

Simplifying
x = 0

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