(5x-9)-11=2x+7

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Solution for (5x-9)-11=2x+7 equation:


Simplifying
(5x + -9) + -11 = 2x + 7

Reorder the terms:
(-9 + 5x) + -11 = 2x + 7

Remove parenthesis around (-9 + 5x)
-9 + 5x + -11 = 2x + 7

Reorder the terms:
-9 + -11 + 5x = 2x + 7

Combine like terms: -9 + -11 = -20
-20 + 5x = 2x + 7

Reorder the terms:
-20 + 5x = 7 + 2x

Solving
-20 + 5x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 5x + -2x = 7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-20 + 3x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 3x = 7 + 0
-20 + 3x = 7

Add '20' to each side of the equation.
-20 + 20 + 3x = 7 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = 7 + 20
3x = 7 + 20

Combine like terms: 7 + 20 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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