0.1x-0.8(4-3x)=-0.3(x-8)

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Solution for 0.1x-0.8(4-3x)=-0.3(x-8) equation: 


Simplifying
0.1x + -0.8(4 + -3x) = -0.3(x + -8)
0.1x + (4 * -0.8 + -3x * -0.8) = -0.3(x + -8)
0.1x + (-3.2 + 2.4x) = -0.3(x + -8)

Reorder the terms:
-3.2 + 0.1x + 2.4x = -0.3(x + -8)

Combine like terms: 0.1x + 2.4x = 2.5x
-3.2 + 2.5x = -0.3(x + -8)

Reorder the terms:
-3.2 + 2.5x = -0.3(-8 + x)
-3.2 + 2.5x = (-8 * -0.3 + x * -0.3)
-3.2 + 2.5x = (2.4 + -0.3x)

Solving
-3.2 + 2.5x = 2.4 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
-3.2 + 2.5x + 0.3x = 2.4 + -0.3x + 0.3x

Combine like terms: 2.5x + 0.3x = 2.8x
-3.2 + 2.8x = 2.4 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
-3.2 + 2.8x = 2.4 + 0.0
-3.2 + 2.8x = 2.4

Add '3.2' to each side of the equation.
-3.2 + 3.2 + 2.8x = 2.4 + 3.2

Combine like terms: -3.2 + 3.2 = 0.0
0.0 + 2.8x = 2.4 + 3.2
2.8x = 2.4 + 3.2

Combine like terms: 2.4 + 3.2 = 5.6
2.8x = 5.6

Divide each side by '2.8'.
x = 2

Simplifying
x = 2

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