11x+13(1-2x)=4-11(x-1)

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Solution for 11x+13(1-2x)=4-11(x-1) equation: 


Simplifying
11x + 13(1 + -2x) = 4 + -11(x + -1)
11x + (1 * 13 + -2x * 13) = 4 + -11(x + -1)
11x + (13 + -26x) = 4 + -11(x + -1)

Reorder the terms:
13 + 11x + -26x = 4 + -11(x + -1)

Combine like terms: 11x + -26x = -15x
13 + -15x = 4 + -11(x + -1)

Reorder the terms:
13 + -15x = 4 + -11(-1 + x)
13 + -15x = 4 + (-1 * -11 + x * -11)
13 + -15x = 4 + (11 + -11x)

Combine like terms: 4 + 11 = 15
13 + -15x = 15 + -11x

Solving
13 + -15x = 15 + -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.
13 + -15x + 11x = 15 + -11x + 11x

Combine like terms: -15x + 11x = -4x
13 + -4x = 15 + -11x + 11x

Combine like terms: -11x + 11x = 0
13 + -4x = 15 + 0
13 + -4x = 15

Add '-13' to each side of the equation.
13 + -13 + -4x = 15 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 15 + -13
-4x = 15 + -13

Combine like terms: 15 + -13 = 2
-4x = 2

Divide each side by '-4'.
x = -0.5

Simplifying
x = -0.5

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