3(x+1)=-3(x+1)-(5)

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Solution for 3(x+1)=-3(x+1)-(5) equation: 


Simplifying
3(x + 1) = -3(x + 1) + -1(5)

Reorder the terms:
3(1 + x) = -3(x + 1) + -1(5)
(1 * 3 + x * 3) = -3(x + 1) + -1(5)
(3 + 3x) = -3(x + 1) + -1(5)

Reorder the terms:
3 + 3x = -3(1 + x) + -1(5)
3 + 3x = (1 * -3 + x * -3) + -1(5)
3 + 3x = (-3 + -3x) + -1(5)

Multiply -1 * 5
3 + 3x = -3 + -3x + -5

Reorder the terms:
3 + 3x = -3 + -5 + -3x

Combine like terms: -3 + -5 = -8
3 + 3x = -8 + -3x

Solving
3 + 3x = -8 + -3x

Solving for variable 'x'.

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

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

Combine like terms: 3x + 3x = 6x
3 + 6x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
3 + 6x = -8 + 0
3 + 6x = -8

Add '-3' to each side of the equation.
3 + -3 + 6x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = -8 + -3
6x = -8 + -3

Combine like terms: -8 + -3 = -11
6x = -11

Divide each side by '6'.
x = -1.833333333

Simplifying
x = -1.833333333

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