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

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


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

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

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

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

Combine like terms: 3 + -4 = -1
-1 + x + 4x = 3(x + 3) + -2

Combine like terms: x + 4x = 5x
-1 + 5x = 3(x + 3) + -2

Reorder the terms:
-1 + 5x = 3(3 + x) + -2
-1 + 5x = (3 * 3 + x * 3) + -2
-1 + 5x = (9 + 3x) + -2

Reorder the terms:
-1 + 5x = 9 + -2 + 3x

Combine like terms: 9 + -2 = 7
-1 + 5x = 7 + 3x

Solving
-1 + 5x = 7 + 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.
-1 + 5x + -3x = 7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-1 + 2x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 2x = 7 + 0
-1 + 2x = 7

Add '1' to each side of the equation.
-1 + 1 + 2x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 7 + 1
2x = 7 + 1

Combine like terms: 7 + 1 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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