3(3x-2)-2=3(x-3)+55

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Solution for 3(3x-2)-2=3(x-3)+55 equation: 


Simplifying
3(3x + -2) + -2 = 3(x + -3) + 55

Reorder the terms:
3(-2 + 3x) + -2 = 3(x + -3) + 55
(-2 * 3 + 3x * 3) + -2 = 3(x + -3) + 55
(-6 + 9x) + -2 = 3(x + -3) + 55

Reorder the terms:
-6 + -2 + 9x = 3(x + -3) + 55

Combine like terms: -6 + -2 = -8
-8 + 9x = 3(x + -3) + 55

Reorder the terms:
-8 + 9x = 3(-3 + x) + 55
-8 + 9x = (-3 * 3 + x * 3) + 55
-8 + 9x = (-9 + 3x) + 55

Reorder the terms:
-8 + 9x = -9 + 55 + 3x

Combine like terms: -9 + 55 = 46
-8 + 9x = 46 + 3x

Solving
-8 + 9x = 46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 9x + -3x = 46 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-8 + 6x = 46 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 6x = 46 + 0
-8 + 6x = 46

Add '8' to each side of the equation.
-8 + 8 + 6x = 46 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 46 + 8
6x = 46 + 8

Combine like terms: 46 + 8 = 54
6x = 54

Divide each side by '6'.
x = 9

Simplifying
x = 9

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