(3x+6)=(x-5)

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Solution for (3x+6)=(x-5) equation:


Simplifying
(3x + 6) = (x + -5)

Reorder the terms:
(6 + 3x) = (x + -5)

Remove parenthesis around (6 + 3x)
6 + 3x = (x + -5)

Reorder the terms:
6 + 3x = (-5 + x)

Remove parenthesis around (-5 + x)
6 + 3x = -5 + x

Solving
6 + 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.
6 + 3x + -1x = -5 + x + -1x

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

Combine like terms: x + -1x = 0
6 + 2x = -5 + 0
6 + 2x = -5

Add '-6' to each side of the equation.
6 + -6 + 2x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = -5 + -6
2x = -5 + -6

Combine like terms: -5 + -6 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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