X+2(x+4)=1-3(x+2)

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Solution for X+2(x+4)=1-3(x+2) equation:


Simplifying
X + 2(x + 4) = 1 + -3(x + 2)

Reorder the terms:
X + 2(4 + x) = 1 + -3(x + 2)
X + (4 * 2 + x * 2) = 1 + -3(x + 2)
X + (8 + 2x) = 1 + -3(x + 2)

Reorder the terms:
8 + X + 2x = 1 + -3(x + 2)

Reorder the terms:
8 + X + 2x = 1 + -3(2 + x)
8 + X + 2x = 1 + (2 * -3 + x * -3)
8 + X + 2x = 1 + (-6 + -3x)

Combine like terms: 1 + -6 = -5
8 + X + 2x = -5 + -3x

Solving
8 + X + 2x = -5 + -3x

Solving for variable 'X'.

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

Add '-8' to each side of the equation.
8 + X + -8 + 2x = -5 + -8 + -3x

Reorder the terms:
8 + -8 + X + 2x = -5 + -8 + -3x

Combine like terms: 8 + -8 = 0
0 + X + 2x = -5 + -8 + -3x
X + 2x = -5 + -8 + -3x

Combine like terms: -5 + -8 = -13
X + 2x = -13 + -3x

Add '-2x' to each side of the equation.
X + 2x + -2x = -13 + -3x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = -13 + -3x + -2x
X = -13 + -3x + -2x

Combine like terms: -3x + -2x = -5x
X = -13 + -5x

Simplifying
X = -13 + -5x

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