X+3(x+1)=-3(x-8)

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Solution for X+3(x+1)=-3(x-8) equation:


Simplifying
X + 3(x + 1) = -3(x + -8)

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

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

Reorder the terms:
3 + X + 3x = -3(-8 + x)
3 + X + 3x = (-8 * -3 + x * -3)
3 + X + 3x = (24 + -3x)

Solving
3 + X + 3x = 24 + -3x

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X + -3 + 3x = 24 + -3 + -3x

Reorder the terms:
3 + -3 + X + 3x = 24 + -3 + -3x

Combine like terms: 3 + -3 = 0
0 + X + 3x = 24 + -3 + -3x
X + 3x = 24 + -3 + -3x

Combine like terms: 24 + -3 = 21
X + 3x = 21 + -3x

Add '-3x' to each side of the equation.
X + 3x + -3x = 21 + -3x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 21 + -3x + -3x
X = 21 + -3x + -3x

Combine like terms: -3x + -3x = -6x
X = 21 + -6x

Simplifying
X = 21 + -6x

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