2(3x+3)=(2x+2)

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


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

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

Reorder the terms:
6 + 6x = (2 + 2x)

Remove parenthesis around (2 + 2x)
6 + 6x = 2 + 2x

Solving
6 + 6x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = 2 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 2 + 0
6 + 4x = 2

Add '-6' to each side of the equation.
6 + -6 + 4x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 2 + -6
4x = 2 + -6

Combine like terms: 2 + -6 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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