(X+2)-2(2-2x)=2(x+4)-1

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Solution for (X+2)-2(2-2x)=2(x+4)-1 equation:


Simplifying
(X + 2) + -2(2 + -2x) = 2(x + 4) + -1

Reorder the terms:
(2 + X) + -2(2 + -2x) = 2(x + 4) + -1

Remove parenthesis around (2 + X)
2 + X + -2(2 + -2x) = 2(x + 4) + -1
2 + X + (2 * -2 + -2x * -2) = 2(x + 4) + -1
2 + X + (-4 + 4x) = 2(x + 4) + -1

Reorder the terms:
2 + -4 + X + 4x = 2(x + 4) + -1

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

Reorder the terms:
-2 + X + 4x = 2(4 + x) + -1
-2 + X + 4x = (4 * 2 + x * 2) + -1
-2 + X + 4x = (8 + 2x) + -1

Reorder the terms:
-2 + X + 4x = 8 + -1 + 2x

Combine like terms: 8 + -1 = 7
-2 + X + 4x = 7 + 2x

Solving
-2 + X + 4x = 7 + 2x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + X + 2 + 4x = 7 + 2 + 2x

Reorder the terms:
-2 + 2 + X + 4x = 7 + 2 + 2x

Combine like terms: -2 + 2 = 0
0 + X + 4x = 7 + 2 + 2x
X + 4x = 7 + 2 + 2x

Combine like terms: 7 + 2 = 9
X + 4x = 9 + 2x

Add '-4x' to each side of the equation.
X + 4x + -4x = 9 + 2x + -4x

Combine like terms: 4x + -4x = 0
X + 0 = 9 + 2x + -4x
X = 9 + 2x + -4x

Combine like terms: 2x + -4x = -2x
X = 9 + -2x

Simplifying
X = 9 + -2x

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