2x+9=2-3x-16

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


Simplifying
2x + 9 = 2 + -3x + -16

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

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

Combine like terms: 2 + -16 = -14
9 + 2x = -14 + -3x

Solving
9 + 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.
9 + 2x + 3x = -14 + -3x + 3x

Combine like terms: 2x + 3x = 5x
9 + 5x = -14 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 5x = -14 + 0
9 + 5x = -14

Add '-9' to each side of the equation.
9 + -9 + 5x = -14 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = -14 + -9
5x = -14 + -9

Combine like terms: -14 + -9 = -23
5x = -23

Divide each side by '5'.
x = -4.6

Simplifying
x = -4.6

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