0.2x-0.5=0.5-0.2(2x-130)

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Solution for 0.2x-0.5=0.5-0.2(2x-130) equation: 


Simplifying
0.2x + -0.5 = 0.5 + -0.2(2x + -130)

Reorder the terms:
-0.5 + 0.2x = 0.5 + -0.2(2x + -130)

Reorder the terms:
-0.5 + 0.2x = 0.5 + -0.2(-130 + 2x)
-0.5 + 0.2x = 0.5 + (-130 * -0.2 + 2x * -0.2)
-0.5 + 0.2x = 0.5 + (26 + -0.4x)

Combine like terms: 0.5 + 26 = 26.5
-0.5 + 0.2x = 26.5 + -0.4x

Solving
-0.5 + 0.2x = 26.5 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-0.5 + 0.2x + 0.4x = 26.5 + -0.4x + 0.4x

Combine like terms: 0.2x + 0.4x = 0.6x
-0.5 + 0.6x = 26.5 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-0.5 + 0.6x = 26.5 + 0.0
-0.5 + 0.6x = 26.5

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.6x = 26.5 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.6x = 26.5 + 0.5
0.6x = 26.5 + 0.5

Combine like terms: 26.5 + 0.5 = 27
0.6x = 27

Divide each side by '0.6'.
x = 45

Simplifying
x = 45

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