x+6-3x=2+3x-16

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Solution for x+6-3x=2+3x-16 equation:


Simplifying
x + 6 + -3x = 2 + 3x + -16

Reorder the terms:
6 + x + -3x = 2 + 3x + -16

Combine like terms: x + -3x = -2x
6 + -2x = 2 + 3x + -16

Reorder the terms:
6 + -2x = 2 + -16 + 3x

Combine like terms: 2 + -16 = -14
6 + -2x = -14 + 3x

Solving
6 + -2x = -14 + 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.
6 + -2x + -3x = -14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
6 + -5x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -5x = -14 + 0
6 + -5x = -14

Add '-6' to each side of the equation.
6 + -6 + -5x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -14 + -6
-5x = -14 + -6

Combine like terms: -14 + -6 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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