6(3x-9)-3=6(x-4)+39

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Solution for 6(3x-9)-3=6(x-4)+39 equation: 


Simplifying
6(3x + -9) + -3 = 6(x + -4) + 39

Reorder the terms:
6(-9 + 3x) + -3 = 6(x + -4) + 39
(-9 * 6 + 3x * 6) + -3 = 6(x + -4) + 39
(-54 + 18x) + -3 = 6(x + -4) + 39

Reorder the terms:
-54 + -3 + 18x = 6(x + -4) + 39

Combine like terms: -54 + -3 = -57
-57 + 18x = 6(x + -4) + 39

Reorder the terms:
-57 + 18x = 6(-4 + x) + 39
-57 + 18x = (-4 * 6 + x * 6) + 39
-57 + 18x = (-24 + 6x) + 39

Reorder the terms:
-57 + 18x = -24 + 39 + 6x

Combine like terms: -24 + 39 = 15
-57 + 18x = 15 + 6x

Solving
-57 + 18x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-57 + 18x + -6x = 15 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-57 + 12x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-57 + 12x = 15 + 0
-57 + 12x = 15

Add '57' to each side of the equation.
-57 + 57 + 12x = 15 + 57

Combine like terms: -57 + 57 = 0
0 + 12x = 15 + 57
12x = 15 + 57

Combine like terms: 15 + 57 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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