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 = 0.5X + -8

Multiply -0.1 * 12
0.4X + -1.2 + -4X = 0.5X + -8

Reorder the terms:
-1.2 + 0.4X + -4X = 0.5X + -8

Combine like terms: 0.4X + -4X = -3.6X
-1.2 + -3.6X = 0.5X + -8

Reorder the terms:
-1.2 + -3.6X = -8 + 0.5X

Solving
-1.2 + -3.6X = -8 + 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 + -3.6X + -0.5X = -8 + 0.5X + -0.5X

Combine like terms: -3.6X + -0.5X = -4.1X
-1.2 + -4.1X = -8 + 0.5X + -0.5X

Combine like terms: 0.5X + -0.5X = 0.0
-1.2 + -4.1X = -8 + 0.0
-1.2 + -4.1X = -8

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -4.1X = -8 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -4.1X = -8 + 1.2
-4.1X = -8 + 1.2

Combine like terms: -8 + 1.2 = -6.8
-4.1X = -6.8

Divide each side by '-4.1'.
X = 1.658536585

Simplifying
X = 1.658536585

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