2(3x-3)+2(x+3)=(x+5)+(3x+4)+(3x+4)

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Solution for 2(3x-3)+2(x+3)=(x+5)+(3x+4)+(3x+4) equation:


Simplifying
2(3x + -3) + 2(x + 3) = (x + 5) + (3x + 4) + (3x + 4)

Reorder the terms:
2(-3 + 3x) + 2(x + 3) = (x + 5) + (3x + 4) + (3x + 4)
(-3 * 2 + 3x * 2) + 2(x + 3) = (x + 5) + (3x + 4) + (3x + 4)
(-6 + 6x) + 2(x + 3) = (x + 5) + (3x + 4) + (3x + 4)

Reorder the terms:
-6 + 6x + 2(3 + x) = (x + 5) + (3x + 4) + (3x + 4)
-6 + 6x + (3 * 2 + x * 2) = (x + 5) + (3x + 4) + (3x + 4)
-6 + 6x + (6 + 2x) = (x + 5) + (3x + 4) + (3x + 4)

Reorder the terms:
-6 + 6 + 6x + 2x = (x + 5) + (3x + 4) + (3x + 4)

Combine like terms: -6 + 6 = 0
0 + 6x + 2x = (x + 5) + (3x + 4) + (3x + 4)
6x + 2x = (x + 5) + (3x + 4) + (3x + 4)

Combine like terms: 6x + 2x = 8x
8x = (x + 5) + (3x + 4) + (3x + 4)

Reorder the terms:
8x = (5 + x) + (3x + 4) + (3x + 4)

Remove parenthesis around (5 + x)
8x = 5 + x + (3x + 4) + (3x + 4)

Reorder the terms:
8x = 5 + x + (4 + 3x) + (3x + 4)

Remove parenthesis around (4 + 3x)
8x = 5 + x + 4 + 3x + (3x + 4)

Reorder the terms:
8x = 5 + x + 4 + 3x + (4 + 3x)

Remove parenthesis around (4 + 3x)
8x = 5 + x + 4 + 3x + 4 + 3x

Reorder the terms:
8x = 5 + 4 + 4 + x + 3x + 3x

Combine like terms: 5 + 4 = 9
8x = 9 + 4 + x + 3x + 3x

Combine like terms: 9 + 4 = 13
8x = 13 + x + 3x + 3x

Combine like terms: x + 3x = 4x
8x = 13 + 4x + 3x

Combine like terms: 4x + 3x = 7x
8x = 13 + 7x

Solving
8x = 13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8x + -7x = 13 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
1x = 13 + 0
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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