0.2x=0.5(x-6)

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Solution for 0.2x=0.5(x-6) equation:


Simplifying
0.2x = 0.5(x + -6)

Reorder the terms:
0.2x = 0.5(-6 + x)
0.2x = (-6 * 0.5 + x * 0.5)
0.2x = (-3 + 0.5x)

Solving
0.2x = -3 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.2x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 0.2x + -0.5x = -0.3x
-0.3x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.3x = -3 + 0.0
-0.3x = -3

Divide each side by '-0.3'.
x = 10

Simplifying
x = 10

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