8.4(6x-6)+2.4(9-3x)=0

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Solution for 8.4(6x-6)+2.4(9-3x)=0 equation: 


Simplifying
8.4(6x + -6) + 2.4(9 + -3x) = 0

Reorder the terms:
8.4(-6 + 6x) + 2.4(9 + -3x) = 0
(-6 * 8.4 + 6x * 8.4) + 2.4(9 + -3x) = 0
(-50.4 + 50.4x) + 2.4(9 + -3x) = 0
-50.4 + 50.4x + (9 * 2.4 + -3x * 2.4) = 0
-50.4 + 50.4x + (21.6 + -7.2x) = 0

Reorder the terms:
-50.4 + 21.6 + 50.4x + -7.2x = 0

Combine like terms: -50.4 + 21.6 = -28.8
-28.8 + 50.4x + -7.2x = 0

Combine like terms: 50.4x + -7.2x = 43.2x
-28.8 + 43.2x = 0

Solving
-28.8 + 43.2x = 0

Solving for variable 'x'.

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

Add '28.8' to each side of the equation.
-28.8 + 28.8 + 43.2x = 0 + 28.8

Combine like terms: -28.8 + 28.8 = 0.0
0.0 + 43.2x = 0 + 28.8
43.2x = 0 + 28.8

Combine like terms: 0 + 28.8 = 28.8
43.2x = 28.8

Divide each side by '43.2'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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