0.2x-0.4(6-5x)=0.5(x-6)

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Solution for 0.2x-0.4(6-5x)=0.5(x-6) equation: 


Simplifying
0.2x + -0.4(6 + -5x) = 0.5(x + -6)
0.2x + (6 * -0.4 + -5x * -0.4) = 0.5(x + -6)
0.2x + (-2.4 + 2x) = 0.5(x + -6)

Reorder the terms:
-2.4 + 0.2x + 2x = 0.5(x + -6)

Combine like terms: 0.2x + 2x = 2.2x
-2.4 + 2.2x = 0.5(x + -6)

Reorder the terms:
-2.4 + 2.2x = 0.5(-6 + x)
-2.4 + 2.2x = (-6 * 0.5 + x * 0.5)
-2.4 + 2.2x = (-3 + 0.5x)

Solving
-2.4 + 2.2x = -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.
-2.4 + 2.2x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 2.2x + -0.5x = 1.7x
-2.4 + 1.7x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-2.4 + 1.7x = -3 + 0.0
-2.4 + 1.7x = -3

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 1.7x = -3 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 1.7x = -3 + 2.4
1.7x = -3 + 2.4

Combine like terms: -3 + 2.4 = -0.6
1.7x = -0.6

Divide each side by '1.7'.
x = -0.3529411765

Simplifying
x = -0.3529411765

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