3(x+1)=x-5

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


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

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

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

Solving
3 + 3x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
3 + 3x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
3 + 2x = -5 + 0
3 + 2x = -5

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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