2(x+2)-9=3x-16

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


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

Reorder the terms:
2(2 + x) + -9 = 3x + -16
(2 * 2 + x * 2) + -9 = 3x + -16
(4 + 2x) + -9 = 3x + -16

Reorder the terms:
4 + -9 + 2x = 3x + -16

Combine like terms: 4 + -9 = -5
-5 + 2x = 3x + -16

Reorder the terms:
-5 + 2x = -16 + 3x

Solving
-5 + 2x = -16 + 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.
-5 + 2x + -3x = -16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = -16 + 0
-5 + -1x = -16

Add '5' to each side of the equation.
-5 + 5 + -1x = -16 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -16 + 5
-1x = -16 + 5

Combine like terms: -16 + 5 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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