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

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


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

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

Remove parenthesis around (2 + x)
2 + x + -2(2 + -2x) = 3(x + 3) + -3
2 + x + (2 * -2 + -2x * -2) = 3(x + 3) + -3
2 + x + (-4 + 4x) = 3(x + 3) + -3

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

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

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

Reorder the terms:
-2 + 5x = 3(3 + x) + -3
-2 + 5x = (3 * 3 + x * 3) + -3
-2 + 5x = (9 + 3x) + -3

Reorder the terms:
-2 + 5x = 9 + -3 + 3x

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

Solving
-2 + 5x = 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.
-2 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-2 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 2x = 6 + 0
-2 + 2x = 6

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

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

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

Divide each side by '2'.
x = 4

Simplifying
x = 4

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