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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