20-2(3x-9)+2=11x-1

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Solution for 20-2(3x-9)+2=11x-1 equation: 


Simplifying
20 + -2(3x + -9) + 2 = 11x + -1

Reorder the terms:
20 + -2(-9 + 3x) + 2 = 11x + -1
20 + (-9 * -2 + 3x * -2) + 2 = 11x + -1
20 + (18 + -6x) + 2 = 11x + -1

Reorder the terms:
20 + 18 + 2 + -6x = 11x + -1

Combine like terms: 20 + 18 = 38
38 + 2 + -6x = 11x + -1

Combine like terms: 38 + 2 = 40
40 + -6x = 11x + -1

Reorder the terms:
40 + -6x = -1 + 11x

Solving
40 + -6x = -1 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
40 + -6x + -11x = -1 + 11x + -11x

Combine like terms: -6x + -11x = -17x
40 + -17x = -1 + 11x + -11x

Combine like terms: 11x + -11x = 0
40 + -17x = -1 + 0
40 + -17x = -1

Add '-40' to each side of the equation.
40 + -40 + -17x = -1 + -40

Combine like terms: 40 + -40 = 0
0 + -17x = -1 + -40
-17x = -1 + -40

Combine like terms: -1 + -40 = -41
-17x = -41

Divide each side by '-17'.
x = 2.411764706

Simplifying
x = 2.411764706

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