2(2x-3)+2(X+5)=x+6+2x+3+2x+7

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Solution for 2(2x-3)+2(X+5)=x+6+2x+3+2x+7 equation: 


Simplifying
2(2x + -3) + 2(X + 5) = x + 6 + 2x + 3 + 2x + 7

Reorder the terms:
2(-3 + 2x) + 2(X + 5) = x + 6 + 2x + 3 + 2x + 7
(-3 * 2 + 2x * 2) + 2(X + 5) = x + 6 + 2x + 3 + 2x + 7
(-6 + 4x) + 2(X + 5) = x + 6 + 2x + 3 + 2x + 7

Reorder the terms:
-6 + 4x + 2(5 + X) = x + 6 + 2x + 3 + 2x + 7
-6 + 4x + (5 * 2 + X * 2) = x + 6 + 2x + 3 + 2x + 7
-6 + 4x + (10 + 2X) = x + 6 + 2x + 3 + 2x + 7

Reorder the terms:
-6 + 10 + 2X + 4x = x + 6 + 2x + 3 + 2x + 7

Combine like terms: -6 + 10 = 4
4 + 2X + 4x = x + 6 + 2x + 3 + 2x + 7

Reorder the terms:
4 + 2X + 4x = 6 + 3 + 7 + x + 2x + 2x

Combine like terms: 6 + 3 = 9
4 + 2X + 4x = 9 + 7 + x + 2x + 2x

Combine like terms: 9 + 7 = 16
4 + 2X + 4x = 16 + x + 2x + 2x

Combine like terms: x + 2x = 3x
4 + 2X + 4x = 16 + 3x + 2x

Combine like terms: 3x + 2x = 5x
4 + 2X + 4x = 16 + 5x

Solving
4 + 2X + 4x = 16 + 5x

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + 2X + -4 + 4x = 16 + -4 + 5x

Reorder the terms:
4 + -4 + 2X + 4x = 16 + -4 + 5x

Combine like terms: 4 + -4 = 0
0 + 2X + 4x = 16 + -4 + 5x
2X + 4x = 16 + -4 + 5x

Combine like terms: 16 + -4 = 12
2X + 4x = 12 + 5x

Add '-4x' to each side of the equation.
2X + 4x + -4x = 12 + 5x + -4x

Combine like terms: 4x + -4x = 0
2X + 0 = 12 + 5x + -4x
2X = 12 + 5x + -4x

Combine like terms: 5x + -4x = 1x
2X = 12 + 1x

Divide each side by '2'.
X = 6 + 0.5x

Simplifying
X = 6 + 0.5x

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