2x+2(3x+2)-9=(3x-9)+3

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Solution for 2x+2(3x+2)-9=(3x-9)+3 equation:


Simplifying
2x + 2(3x + 2) + -9 = (3x + -9) + 3

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

Reorder the terms:
4 + -9 + 2x + 6x = (3x + -9) + 3

Combine like terms: 4 + -9 = -5
-5 + 2x + 6x = (3x + -9) + 3

Combine like terms: 2x + 6x = 8x
-5 + 8x = (3x + -9) + 3

Reorder the terms:
-5 + 8x = (-9 + 3x) + 3

Remove parenthesis around (-9 + 3x)
-5 + 8x = -9 + 3x + 3

Reorder the terms:
-5 + 8x = -9 + 3 + 3x

Combine like terms: -9 + 3 = -6
-5 + 8x = -6 + 3x

Solving
-5 + 8x = -6 + 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.
-5 + 8x + -3x = -6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-5 + 5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 5x = -6 + 0
-5 + 5x = -6

Add '5' to each side of the equation.
-5 + 5 + 5x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = -6 + 5
5x = -6 + 5

Combine like terms: -6 + 5 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2

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