0.5x-0.4=0.2(x-1)

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Solution for 0.5x-0.4=0.2(x-1) equation: 


Simplifying
0.5x + -0.4 = 0.2(x + -1)

Reorder the terms:
-0.4 + 0.5x = 0.2(x + -1)

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

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

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

Combine like terms: 0.2x + -0.2x = 0.0
-0.4 + 0.3x = -0.2 + 0.0
-0.4 + 0.3x = -0.2

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.3x = -0.2 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.3x = -0.2 + 0.4
0.3x = -0.2 + 0.4

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

Divide each side by '0.3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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