11-2x=3(3x-2)-5

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Solution for 11-2x=3(3x-2)-5 equation: 


Simplifying
11 + -2x = 3(3x + -2) + -5

Reorder the terms:
11 + -2x = 3(-2 + 3x) + -5
11 + -2x = (-2 * 3 + 3x * 3) + -5
11 + -2x = (-6 + 9x) + -5

Reorder the terms:
11 + -2x = -6 + -5 + 9x

Combine like terms: -6 + -5 = -11
11 + -2x = -11 + 9x

Solving
11 + -2x = -11 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + -2x + -9x = -11 + 9x + -9x

Combine like terms: -2x + -9x = -11x
11 + -11x = -11 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -11x = -11 + 0
11 + -11x = -11

Add '-11' to each side of the equation.
11 + -11 + -11x = -11 + -11

Combine like terms: 11 + -11 = 0
0 + -11x = -11 + -11
-11x = -11 + -11

Combine like terms: -11 + -11 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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