11(x+3)=5(x-13)+44

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Solution for 11(x+3)=5(x-13)+44 equation:


Simplifying
11(x + 3) = 5(x + -13) + 44

Reorder the terms:
11(3 + x) = 5(x + -13) + 44
(3 * 11 + x * 11) = 5(x + -13) + 44
(33 + 11x) = 5(x + -13) + 44

Reorder the terms:
33 + 11x = 5(-13 + x) + 44
33 + 11x = (-13 * 5 + x * 5) + 44
33 + 11x = (-65 + 5x) + 44

Reorder the terms:
33 + 11x = -65 + 44 + 5x

Combine like terms: -65 + 44 = -21
33 + 11x = -21 + 5x

Solving
33 + 11x = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
33 + 11x + -5x = -21 + 5x + -5x

Combine like terms: 11x + -5x = 6x
33 + 6x = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
33 + 6x = -21 + 0
33 + 6x = -21

Add '-33' to each side of the equation.
33 + -33 + 6x = -21 + -33

Combine like terms: 33 + -33 = 0
0 + 6x = -21 + -33
6x = -21 + -33

Combine like terms: -21 + -33 = -54
6x = -54

Divide each side by '6'.
x = -9

Simplifying
x = -9

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