2(x-2)+16=5x-9

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Solution for 2(x-2)+16=5x-9 equation:


Simplifying
2(x + -2) + 16 = 5x + -9

Reorder the terms:
2(-2 + x) + 16 = 5x + -9
(-2 * 2 + x * 2) + 16 = 5x + -9
(-4 + 2x) + 16 = 5x + -9

Reorder the terms:
-4 + 16 + 2x = 5x + -9

Combine like terms: -4 + 16 = 12
12 + 2x = 5x + -9

Reorder the terms:
12 + 2x = -9 + 5x

Solving
12 + 2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 2x + -5x = -9 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = -9 + 0
12 + -3x = -9

Add '-12' to each side of the equation.
12 + -12 + -3x = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -9 + -12
-3x = -9 + -12

Combine like terms: -9 + -12 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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