0.4x-0.5(10-5x)=-0.2(x-6)

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Solution for 0.4x-0.5(10-5x)=-0.2(x-6) equation:


Simplifying
0.4x + -0.5(10 + -5x) = -0.2(x + -6)
0.4x + (10 * -0.5 + -5x * -0.5) = -0.2(x + -6)
0.4x + (-5 + 2.5x) = -0.2(x + -6)

Reorder the terms:
-5 + 0.4x + 2.5x = -0.2(x + -6)

Combine like terms: 0.4x + 2.5x = 2.9x
-5 + 2.9x = -0.2(x + -6)

Reorder the terms:
-5 + 2.9x = -0.2(-6 + x)
-5 + 2.9x = (-6 * -0.2 + x * -0.2)
-5 + 2.9x = (1.2 + -0.2x)

Solving
-5 + 2.9x = 1.2 + -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.
-5 + 2.9x + 0.2x = 1.2 + -0.2x + 0.2x

Combine like terms: 2.9x + 0.2x = 3.1x
-5 + 3.1x = 1.2 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-5 + 3.1x = 1.2 + 0.0
-5 + 3.1x = 1.2

Add '5' to each side of the equation.
-5 + 5 + 3.1x = 1.2 + 5

Combine like terms: -5 + 5 = 0
0 + 3.1x = 1.2 + 5
3.1x = 1.2 + 5

Combine like terms: 1.2 + 5 = 6.2
3.1x = 6.2

Divide each side by '3.1'.
x = 2

Simplifying
x = 2

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