3x+6=(3x+1)-5x

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Solution for 3x+6=(3x+1)-5x equation:


Simplifying
3x + 6 = (3x + 1) + -5x

Reorder the terms:
6 + 3x = (3x + 1) + -5x

Reorder the terms:
6 + 3x = (1 + 3x) + -5x

Remove parenthesis around (1 + 3x)
6 + 3x = 1 + 3x + -5x

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

Solving
6 + 3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 3x + 2x = 1 + -2x + 2x

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

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

Add '-6' to each side of the equation.
6 + -6 + 5x = 1 + -6

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

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

Divide each side by '5'.
x = -1

Simplifying
x = -1

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