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

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


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

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

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

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

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

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

Combine like terms: -3x + -2x = -5x
12 + -5x = -1(12x + 5) + -1(3x + 2) + 3

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

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

Reorder the terms:
12 + -5x = -5 + -2 + 3 + -12x + -3x

Combine like terms: -5 + -2 = -7
12 + -5x = -7 + 3 + -12x + -3x

Combine like terms: -7 + 3 = -4
12 + -5x = -4 + -12x + -3x

Combine like terms: -12x + -3x = -15x
12 + -5x = -4 + -15x

Solving
12 + -5x = -4 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
12 + -5x + 15x = -4 + -15x + 15x

Combine like terms: -5x + 15x = 10x
12 + 10x = -4 + -15x + 15x

Combine like terms: -15x + 15x = 0
12 + 10x = -4 + 0
12 + 10x = -4

Add '-12' to each side of the equation.
12 + -12 + 10x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = -4 + -12
10x = -4 + -12

Combine like terms: -4 + -12 = -16
10x = -16

Divide each side by '10'.
x = -1.6

Simplifying
x = -1.6

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