0.5x-(0.8-0.2x)=0.2-0.3x

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Solution for 0.5x-(0.8-0.2x)=0.2-0.3x equation: 


Simplifying
0.5x + -1(0.8 + -0.2x) = 0.2 + -0.3x
0.5x + (0.8 * -1 + -0.2x * -1) = 0.2 + -0.3x
0.5x + (-0.8 + 0.2x) = 0.2 + -0.3x

Reorder the terms:
-0.8 + 0.5x + 0.2x = 0.2 + -0.3x

Combine like terms: 0.5x + 0.2x = 0.7x
-0.8 + 0.7x = 0.2 + -0.3x

Solving
-0.8 + 0.7x = 0.2 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-0.8 + 0.7x + 0.3x = 0.2 + -0.3x + 0.3x

Combine like terms: 0.7x + 0.3x = 1x
-0.8 + 1x = 0.2 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-0.8 + 1x = 0.2 + 0.0
-0.8 + 1x = 0.2

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 1x = 0.2 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 1x = 0.2 + 0.8
1x = 0.2 + 0.8

Combine like terms: 0.2 + 0.8 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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