-0.75(5.2X-6)=1.2X-0.8-3.7X

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Solution for -0.75(5.2X-6)=1.2X-0.8-3.7X equation: 


Simplifying
-0.75(5.2X + -6) = 1.2X + -0.8 + -3.7X

Reorder the terms:
-0.75(-6 + 5.2X) = 1.2X + -0.8 + -3.7X
(-6 * -0.75 + 5.2X * -0.75) = 1.2X + -0.8 + -3.7X
(4.5 + -3.9X) = 1.2X + -0.8 + -3.7X

Reorder the terms:
4.5 + -3.9X = -0.8 + 1.2X + -3.7X

Combine like terms: 1.2X + -3.7X = -2.5X
4.5 + -3.9X = -0.8 + -2.5X

Solving
4.5 + -3.9X = -0.8 + -2.5X

Solving for variable 'X'.

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

Add '2.5X' to each side of the equation.
4.5 + -3.9X + 2.5X = -0.8 + -2.5X + 2.5X

Combine like terms: -3.9X + 2.5X = -1.4X
4.5 + -1.4X = -0.8 + -2.5X + 2.5X

Combine like terms: -2.5X + 2.5X = 0.0
4.5 + -1.4X = -0.8 + 0.0
4.5 + -1.4X = -0.8

Add '-4.5' to each side of the equation.
4.5 + -4.5 + -1.4X = -0.8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -1.4X = -0.8 + -4.5
-1.4X = -0.8 + -4.5

Combine like terms: -0.8 + -4.5 = -5.3
-1.4X = -5.3

Divide each side by '-1.4'.
X = 3.785714286

Simplifying
X = 3.785714286

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