0.1x-0.9(8-3x)=-0.4(x-6)

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Solution for 0.1x-0.9(8-3x)=-0.4(x-6) equation: 


Simplifying
0.1x + -0.9(8 + -3x) = -0.4(x + -6)
0.1x + (8 * -0.9 + -3x * -0.9) = -0.4(x + -6)
0.1x + (-7.2 + 2.7x) = -0.4(x + -6)

Reorder the terms:
-7.2 + 0.1x + 2.7x = -0.4(x + -6)

Combine like terms: 0.1x + 2.7x = 2.8x
-7.2 + 2.8x = -0.4(x + -6)

Reorder the terms:
-7.2 + 2.8x = -0.4(-6 + x)
-7.2 + 2.8x = (-6 * -0.4 + x * -0.4)
-7.2 + 2.8x = (2.4 + -0.4x)

Solving
-7.2 + 2.8x = 2.4 + -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.
-7.2 + 2.8x + 0.4x = 2.4 + -0.4x + 0.4x

Combine like terms: 2.8x + 0.4x = 3.2x
-7.2 + 3.2x = 2.4 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-7.2 + 3.2x = 2.4 + 0.0
-7.2 + 3.2x = 2.4

Add '7.2' to each side of the equation.
-7.2 + 7.2 + 3.2x = 2.4 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + 3.2x = 2.4 + 7.2
3.2x = 2.4 + 7.2

Combine like terms: 2.4 + 7.2 = 9.6
3.2x = 9.6

Divide each side by '3.2'.
x = 3

Simplifying
x = 3

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