(X+8)+(4x+5)+(4x-1)=2(4x-4)+2(x+5)

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Solution for (X+8)+(4x+5)+(4x-1)=2(4x-4)+2(x+5) equation:


Simplifying
(X + 8) + (4x + 5) + (4x + -1) = 2(4x + -4) + 2(x + 5)

Reorder the terms:
(8 + X) + (4x + 5) + (4x + -1) = 2(4x + -4) + 2(x + 5)

Remove parenthesis around (8 + X)
8 + X + (4x + 5) + (4x + -1) = 2(4x + -4) + 2(x + 5)

Reorder the terms:
8 + X + (5 + 4x) + (4x + -1) = 2(4x + -4) + 2(x + 5)

Remove parenthesis around (5 + 4x)
8 + X + 5 + 4x + (4x + -1) = 2(4x + -4) + 2(x + 5)

Reorder the terms:
8 + X + 5 + 4x + (-1 + 4x) = 2(4x + -4) + 2(x + 5)

Remove parenthesis around (-1 + 4x)
8 + X + 5 + 4x + -1 + 4x = 2(4x + -4) + 2(x + 5)

Reorder the terms:
8 + 5 + -1 + X + 4x + 4x = 2(4x + -4) + 2(x + 5)

Combine like terms: 8 + 5 = 13
13 + -1 + X + 4x + 4x = 2(4x + -4) + 2(x + 5)

Combine like terms: 13 + -1 = 12
12 + X + 4x + 4x = 2(4x + -4) + 2(x + 5)

Combine like terms: 4x + 4x = 8x
12 + X + 8x = 2(4x + -4) + 2(x + 5)

Reorder the terms:
12 + X + 8x = 2(-4 + 4x) + 2(x + 5)
12 + X + 8x = (-4 * 2 + 4x * 2) + 2(x + 5)
12 + X + 8x = (-8 + 8x) + 2(x + 5)

Reorder the terms:
12 + X + 8x = -8 + 8x + 2(5 + x)
12 + X + 8x = -8 + 8x + (5 * 2 + x * 2)
12 + X + 8x = -8 + 8x + (10 + 2x)

Reorder the terms:
12 + X + 8x = -8 + 10 + 8x + 2x

Combine like terms: -8 + 10 = 2
12 + X + 8x = 2 + 8x + 2x

Combine like terms: 8x + 2x = 10x
12 + X + 8x = 2 + 10x

Solving
12 + X + 8x = 2 + 10x

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 + 8x = 2 + -12 + 10x

Reorder the terms:
12 + -12 + X + 8x = 2 + -12 + 10x

Combine like terms: 12 + -12 = 0
0 + X + 8x = 2 + -12 + 10x
X + 8x = 2 + -12 + 10x

Combine like terms: 2 + -12 = -10
X + 8x = -10 + 10x

Add '-8x' to each side of the equation.
X + 8x + -8x = -10 + 10x + -8x

Combine like terms: 8x + -8x = 0
X + 0 = -10 + 10x + -8x
X = -10 + 10x + -8x

Combine like terms: 10x + -8x = 2x
X = -10 + 2x

Simplifying
X = -10 + 2x

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