(x+11)-2(x+2)=1-3(1-x)+4(2x-5)

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Solution for (x+11)-2(x+2)=1-3(1-x)+4(2x-5) equation: 


Simplifying
(x + 11) + -2(x + 2) = 1 + -3(1 + -1x) + 4(2x + -5)

Reorder the terms:
(11 + x) + -2(x + 2) = 1 + -3(1 + -1x) + 4(2x + -5)

Remove parenthesis around (11 + x)
11 + x + -2(x + 2) = 1 + -3(1 + -1x) + 4(2x + -5)

Reorder the terms:
11 + x + -2(2 + x) = 1 + -3(1 + -1x) + 4(2x + -5)
11 + x + (2 * -2 + x * -2) = 1 + -3(1 + -1x) + 4(2x + -5)
11 + x + (-4 + -2x) = 1 + -3(1 + -1x) + 4(2x + -5)

Reorder the terms:
11 + -4 + x + -2x = 1 + -3(1 + -1x) + 4(2x + -5)

Combine like terms: 11 + -4 = 7
7 + x + -2x = 1 + -3(1 + -1x) + 4(2x + -5)

Combine like terms: x + -2x = -1x
7 + -1x = 1 + -3(1 + -1x) + 4(2x + -5)
7 + -1x = 1 + (1 * -3 + -1x * -3) + 4(2x + -5)
7 + -1x = 1 + (-3 + 3x) + 4(2x + -5)

Reorder the terms:
7 + -1x = 1 + -3 + 3x + 4(-5 + 2x)
7 + -1x = 1 + -3 + 3x + (-5 * 4 + 2x * 4)
7 + -1x = 1 + -3 + 3x + (-20 + 8x)

Reorder the terms:
7 + -1x = 1 + -3 + -20 + 3x + 8x

Combine like terms: 1 + -3 = -2
7 + -1x = -2 + -20 + 3x + 8x

Combine like terms: -2 + -20 = -22
7 + -1x = -22 + 3x + 8x

Combine like terms: 3x + 8x = 11x
7 + -1x = -22 + 11x

Solving
7 + -1x = -22 + 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.
7 + -1x + -11x = -22 + 11x + -11x

Combine like terms: -1x + -11x = -12x
7 + -12x = -22 + 11x + -11x

Combine like terms: 11x + -11x = 0
7 + -12x = -22 + 0
7 + -12x = -22

Add '-7' to each side of the equation.
7 + -7 + -12x = -22 + -7

Combine like terms: 7 + -7 = 0
0 + -12x = -22 + -7
-12x = -22 + -7

Combine like terms: -22 + -7 = -29
-12x = -29

Divide each side by '-12'.
x = 2.416666667

Simplifying
x = 2.416666667

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