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

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


Simplifying
11(1 + -3x) + 5(11x + 5) = -3x + -11 + -3
(1 * 11 + -3x * 11) + 5(11x + 5) = -3x + -11 + -3
(11 + -33x) + 5(11x + 5) = -3x + -11 + -3

Reorder the terms:
11 + -33x + 5(5 + 11x) = -3x + -11 + -3
11 + -33x + (5 * 5 + 11x * 5) = -3x + -11 + -3
11 + -33x + (25 + 55x) = -3x + -11 + -3

Reorder the terms:
11 + 25 + -33x + 55x = -3x + -11 + -3

Combine like terms: 11 + 25 = 36
36 + -33x + 55x = -3x + -11 + -3

Combine like terms: -33x + 55x = 22x
36 + 22x = -3x + -11 + -3

Reorder the terms:
36 + 22x = -11 + -3 + -3x

Combine like terms: -11 + -3 = -14
36 + 22x = -14 + -3x

Solving
36 + 22x = -14 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
36 + 22x + 3x = -14 + -3x + 3x

Combine like terms: 22x + 3x = 25x
36 + 25x = -14 + -3x + 3x

Combine like terms: -3x + 3x = 0
36 + 25x = -14 + 0
36 + 25x = -14

Add '-36' to each side of the equation.
36 + -36 + 25x = -14 + -36

Combine like terms: 36 + -36 = 0
0 + 25x = -14 + -36
25x = -14 + -36

Combine like terms: -14 + -36 = -50
25x = -50

Divide each side by '25'.
x = -2

Simplifying
x = -2

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