-(12x-4)-(2x-6)+5=-11(x-1)-(6x+11)+3

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Solution for -(12x-4)-(2x-6)+5=-11(x-1)-(6x+11)+3 equation:


Simplifying
-1(12x + -4) + -1(2x + -6) + 5 = -11(x + -1) + -1(6x + 11) + 3

Reorder the terms:
-1(-4 + 12x) + -1(2x + -6) + 5 = -11(x + -1) + -1(6x + 11) + 3
(-4 * -1 + 12x * -1) + -1(2x + -6) + 5 = -11(x + -1) + -1(6x + 11) + 3
(4 + -12x) + -1(2x + -6) + 5 = -11(x + -1) + -1(6x + 11) + 3

Reorder the terms:
4 + -12x + -1(-6 + 2x) + 5 = -11(x + -1) + -1(6x + 11) + 3
4 + -12x + (-6 * -1 + 2x * -1) + 5 = -11(x + -1) + -1(6x + 11) + 3
4 + -12x + (6 + -2x) + 5 = -11(x + -1) + -1(6x + 11) + 3

Reorder the terms:
4 + 6 + 5 + -12x + -2x = -11(x + -1) + -1(6x + 11) + 3

Combine like terms: 4 + 6 = 10
10 + 5 + -12x + -2x = -11(x + -1) + -1(6x + 11) + 3

Combine like terms: 10 + 5 = 15
15 + -12x + -2x = -11(x + -1) + -1(6x + 11) + 3

Combine like terms: -12x + -2x = -14x
15 + -14x = -11(x + -1) + -1(6x + 11) + 3

Reorder the terms:
15 + -14x = -11(-1 + x) + -1(6x + 11) + 3
15 + -14x = (-1 * -11 + x * -11) + -1(6x + 11) + 3
15 + -14x = (11 + -11x) + -1(6x + 11) + 3

Reorder the terms:
15 + -14x = 11 + -11x + -1(11 + 6x) + 3
15 + -14x = 11 + -11x + (11 * -1 + 6x * -1) + 3
15 + -14x = 11 + -11x + (-11 + -6x) + 3

Reorder the terms:
15 + -14x = 11 + -11 + 3 + -11x + -6x

Combine like terms: 11 + -11 = 0
15 + -14x = 0 + 3 + -11x + -6x
15 + -14x = 3 + -11x + -6x

Combine like terms: -11x + -6x = -17x
15 + -14x = 3 + -17x

Solving
15 + -14x = 3 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
15 + -14x + 17x = 3 + -17x + 17x

Combine like terms: -14x + 17x = 3x
15 + 3x = 3 + -17x + 17x

Combine like terms: -17x + 17x = 0
15 + 3x = 3 + 0
15 + 3x = 3

Add '-15' to each side of the equation.
15 + -15 + 3x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 3 + -15
3x = 3 + -15

Combine like terms: 3 + -15 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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