2x-(x-1)-6(1-x)=3(3x+20)+11x

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Solution for 2x-(x-1)-6(1-x)=3(3x+20)+11x equation:


Simplifying
2x + -1(x + -1) + -6(1 + -1x) = 3(3x + 20) + 11x

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

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

Combine like terms: 1 + -6 = -5
-5 + 2x + -1x + 6x = 3(3x + 20) + 11x

Combine like terms: 2x + -1x = 1x
-5 + 1x + 6x = 3(3x + 20) + 11x

Combine like terms: 1x + 6x = 7x
-5 + 7x = 3(3x + 20) + 11x

Reorder the terms:
-5 + 7x = 3(20 + 3x) + 11x
-5 + 7x = (20 * 3 + 3x * 3) + 11x
-5 + 7x = (60 + 9x) + 11x

Combine like terms: 9x + 11x = 20x
-5 + 7x = 60 + 20x

Solving
-5 + 7x = 60 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-5 + 7x + -20x = 60 + 20x + -20x

Combine like terms: 7x + -20x = -13x
-5 + -13x = 60 + 20x + -20x

Combine like terms: 20x + -20x = 0
-5 + -13x = 60 + 0
-5 + -13x = 60

Add '5' to each side of the equation.
-5 + 5 + -13x = 60 + 5

Combine like terms: -5 + 5 = 0
0 + -13x = 60 + 5
-13x = 60 + 5

Combine like terms: 60 + 5 = 65
-13x = 65

Divide each side by '-13'.
x = -5

Simplifying
x = -5

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