X+2((2x-8)+(x+2))=x+1((2x-5)+(x+1))

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Solution for X+2((2x-8)+(x+2))=x+1((2x-5)+(x+1)) equation: 


Simplifying
X + 2((2x + -8) + (x + 2)) = x + 1((2x + -5) + (x + 1))

Reorder the terms:
X + 2((-8 + 2x) + (x + 2)) = x + 1((2x + -5) + (x + 1))

Remove parenthesis around (-8 + 2x)
X + 2(-8 + 2x + (x + 2)) = x + 1((2x + -5) + (x + 1))

Reorder the terms:
X + 2(-8 + 2x + (2 + x)) = x + 1((2x + -5) + (x + 1))

Remove parenthesis around (2 + x)
X + 2(-8 + 2x + 2 + x) = x + 1((2x + -5) + (x + 1))

Reorder the terms:
X + 2(-8 + 2 + 2x + x) = x + 1((2x + -5) + (x + 1))

Combine like terms: -8 + 2 = -6
X + 2(-6 + 2x + x) = x + 1((2x + -5) + (x + 1))

Combine like terms: 2x + x = 3x
X + 2(-6 + 3x) = x + 1((2x + -5) + (x + 1))
X + (-6 * 2 + 3x * 2) = x + 1((2x + -5) + (x + 1))
X + (-12 + 6x) = x + 1((2x + -5) + (x + 1))

Reorder the terms:
-12 + X + 6x = x + 1((2x + -5) + (x + 1))

Reorder the terms:
-12 + X + 6x = x + 1((-5 + 2x) + (x + 1))

Remove parenthesis around (-5 + 2x)
-12 + X + 6x = x + 1(-5 + 2x + (x + 1))

Reorder the terms:
-12 + X + 6x = x + 1(-5 + 2x + (1 + x))

Remove parenthesis around (1 + x)
-12 + X + 6x = x + 1(-5 + 2x + 1 + x)

Reorder the terms:
-12 + X + 6x = x + 1(-5 + 1 + 2x + x)

Combine like terms: -5 + 1 = -4
-12 + X + 6x = x + 1(-4 + 2x + x)

Combine like terms: 2x + x = 3x
-12 + X + 6x = x + 1(-4 + 3x)
-12 + X + 6x = x + (-4 * 1 + 3x * 1)
-12 + X + 6x = x + (-4 + 3x)

Reorder the terms:
-12 + X + 6x = -4 + x + 3x

Combine like terms: x + 3x = 4x
-12 + X + 6x = -4 + 4x

Solving
-12 + X + 6x = -4 + 4x

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + X + 12 + 6x = -4 + 12 + 4x

Reorder the terms:
-12 + 12 + X + 6x = -4 + 12 + 4x

Combine like terms: -12 + 12 = 0
0 + X + 6x = -4 + 12 + 4x
X + 6x = -4 + 12 + 4x

Combine like terms: -4 + 12 = 8
X + 6x = 8 + 4x

Add '-6x' to each side of the equation.
X + 6x + -6x = 8 + 4x + -6x

Combine like terms: 6x + -6x = 0
X + 0 = 8 + 4x + -6x
X = 8 + 4x + -6x

Combine like terms: 4x + -6x = -2x
X = 8 + -2x

Simplifying
X = 8 + -2x

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