0.3x-0.1=0.5-0.2(5-2x)

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Solution for 0.3x-0.1=0.5-0.2(5-2x) equation: 


Simplifying
0.3x + -0.1 = 0.5 + -0.2(5 + -2x)

Reorder the terms:
-0.1 + 0.3x = 0.5 + -0.2(5 + -2x)
-0.1 + 0.3x = 0.5 + (5 * -0.2 + -2x * -0.2)
-0.1 + 0.3x = 0.5 + (-1 + 0.4x)

Combine like terms: 0.5 + -1 = -0.5
-0.1 + 0.3x = -0.5 + 0.4x

Solving
-0.1 + 0.3x = -0.5 + 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.
-0.1 + 0.3x + -0.4x = -0.5 + 0.4x + -0.4x

Combine like terms: 0.3x + -0.4x = -0.1x
-0.1 + -0.1x = -0.5 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-0.1 + -0.1x = -0.5 + 0.0
-0.1 + -0.1x = -0.5

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.1x = -0.5 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.1x = -0.5 + 0.1
-0.1x = -0.5 + 0.1

Combine like terms: -0.5 + 0.1 = -0.4
-0.1x = -0.4

Divide each side by '-0.1'.
x = 4

Simplifying
x = 4

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