0.2x-0.5=0.5-0.2(2x-13)

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Solution for 0.2x-0.5=0.5-0.2(2x-13) equation: 


Simplifying
0.2x + -0.5 = 0.5 + -0.2(2x + -13)

Reorder the terms:
-0.5 + 0.2x = 0.5 + -0.2(2x + -13)

Reorder the terms:
-0.5 + 0.2x = 0.5 + -0.2(-13 + 2x)
-0.5 + 0.2x = 0.5 + (-13 * -0.2 + 2x * -0.2)
-0.5 + 0.2x = 0.5 + (2.6 + -0.4x)

Combine like terms: 0.5 + 2.6 = 3.1
-0.5 + 0.2x = 3.1 + -0.4x

Solving
-0.5 + 0.2x = 3.1 + -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 = 3.1 + -0.4x + 0.4x

Combine like terms: 0.2x + 0.4x = 0.6x
-0.5 + 0.6x = 3.1 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-0.5 + 0.6x = 3.1 + 0.0
-0.5 + 0.6x = 3.1

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.6x = 3.1 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.6x = 3.1 + 0.5
0.6x = 3.1 + 0.5

Combine like terms: 3.1 + 0.5 = 3.6
0.6x = 3.6

Divide each side by '0.6'.
x = 6

Simplifying
x = 6

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