9(2x-6)-3(2x-4)=8

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Solution for 9(2x-6)-3(2x-4)=8 equation: 


Simplifying
9(2x + -6) + -3(2x + -4) = 8

Reorder the terms:
9(-6 + 2x) + -3(2x + -4) = 8
(-6 * 9 + 2x * 9) + -3(2x + -4) = 8
(-54 + 18x) + -3(2x + -4) = 8

Reorder the terms:
-54 + 18x + -3(-4 + 2x) = 8
-54 + 18x + (-4 * -3 + 2x * -3) = 8
-54 + 18x + (12 + -6x) = 8

Reorder the terms:
-54 + 12 + 18x + -6x = 8

Combine like terms: -54 + 12 = -42
-42 + 18x + -6x = 8

Combine like terms: 18x + -6x = 12x
-42 + 12x = 8

Solving
-42 + 12x = 8

Solving for variable 'x'.

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

Add '42' to each side of the equation.
-42 + 42 + 12x = 8 + 42

Combine like terms: -42 + 42 = 0
0 + 12x = 8 + 42
12x = 8 + 42

Combine like terms: 8 + 42 = 50
12x = 50

Divide each side by '12'.
x = 4.166666667

Simplifying
x = 4.166666667

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