0.4X-0.1(12-4X)=0.5(X-8)

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Solution for 0.4X-0.1(12-4X)=0.5(X-8) equation: 


Simplifying
0.4X + -0.1(12 + -4X) = 0.5(X + -8)
0.4X + (12 * -0.1 + -4X * -0.1) = 0.5(X + -8)
0.4X + (-1.2 + 0.4X) = 0.5(X + -8)

Reorder the terms:
-1.2 + 0.4X + 0.4X = 0.5(X + -8)

Combine like terms: 0.4X + 0.4X = 0.8X
-1.2 + 0.8X = 0.5(X + -8)

Reorder the terms:
-1.2 + 0.8X = 0.5(-8 + X)
-1.2 + 0.8X = (-8 * 0.5 + X * 0.5)
-1.2 + 0.8X = (-4 + 0.5X)

Solving
-1.2 + 0.8X = -4 + 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.
-1.2 + 0.8X + -0.5X = -4 + 0.5X + -0.5X

Combine like terms: 0.8X + -0.5X = 0.3X
-1.2 + 0.3X = -4 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
-1.2 + 0.3X = -4 + 0.0
-1.2 + 0.3X = -4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.3X = -4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.3X = -4 + 1.2
0.3X = -4 + 1.2

Combine like terms: -4 + 1.2 = -2.8
0.3X = -2.8

Divide each side by '0.3'.
X = -9.333333333

Simplifying
X = -9.333333333

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