3x+2=9x-16

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Solution for 3x+2=9x-16 equation:


Simplifying
3x + 2 = 9x + -16

Reorder the terms:
2 + 3x = 9x + -16

Reorder the terms:
2 + 3x = -16 + 9x

Solving
2 + 3x = -16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2 + 3x + -9x = -16 + 9x + -9x

Combine like terms: 3x + -9x = -6x
2 + -6x = -16 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -6x = -16 + 0
2 + -6x = -16

Add '-2' to each side of the equation.
2 + -2 + -6x = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -16 + -2
-6x = -16 + -2

Combine like terms: -16 + -2 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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