(3x-3)+(3x-3)+(x-3)+(x-3)=(2x-1)+(2x-1)+(2x)

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Solution for (3x-3)+(3x-3)+(x-3)+(x-3)=(2x-1)+(2x-1)+(2x) equation: 


Simplifying
(3x + -3) + (3x + -3) + (x + -3) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
(-3 + 3x) + (3x + -3) + (x + -3) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Remove parenthesis around (-3 + 3x)
-3 + 3x + (3x + -3) + (x + -3) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
-3 + 3x + (-3 + 3x) + (x + -3) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Remove parenthesis around (-3 + 3x)
-3 + 3x + -3 + 3x + (x + -3) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
-3 + 3x + -3 + 3x + (-3 + x) + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Remove parenthesis around (-3 + x)
-3 + 3x + -3 + 3x + -3 + x + (x + -3) = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
-3 + 3x + -3 + 3x + -3 + x + (-3 + x) = (2x + -1) + (2x + -1) + (2x)

Remove parenthesis around (-3 + x)
-3 + 3x + -3 + 3x + -3 + x + -3 + x = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
-3 + -3 + -3 + -3 + 3x + 3x + x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: -3 + -3 = -6
-6 + -3 + -3 + 3x + 3x + x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: -6 + -3 = -9
-9 + -3 + 3x + 3x + x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: -9 + -3 = -12
-12 + 3x + 3x + x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: 3x + 3x = 6x
-12 + 6x + x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: 6x + x = 7x
-12 + 7x + x = (2x + -1) + (2x + -1) + (2x)

Combine like terms: 7x + x = 8x
-12 + 8x = (2x + -1) + (2x + -1) + (2x)

Reorder the terms:
-12 + 8x = (-1 + 2x) + (2x + -1) + (2x)

Remove parenthesis around (-1 + 2x)
-12 + 8x = -1 + 2x + (2x + -1) + (2x)

Reorder the terms:
-12 + 8x = -1 + 2x + (-1 + 2x) + (2x)

Remove parenthesis around (-1 + 2x)
-12 + 8x = -1 + 2x + -1 + 2x + (2x)

Reorder the terms:
-12 + 8x = -1 + -1 + 2x + 2x + (2x)

Combine like terms: -1 + -1 = -2
-12 + 8x = -2 + 2x + 2x + (2x)

Combine like terms: 2x + 2x = 4x
-12 + 8x = -2 + 4x + (2x)

Combine like terms: 4x + (2x) = 6x
-12 + 8x = -2 + 6x

Solving
-12 + 8x = -2 + 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.
-12 + 8x + -6x = -2 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 2x = -2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2x = -2 + 0
-12 + 2x = -2

Add '12' to each side of the equation.
-12 + 12 + 2x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -2 + 12
2x = -2 + 12

Combine like terms: -2 + 12 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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