-(5x-3)-(6x-5)+1=-7(x-1)-(7x+6)+3

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Solution for -(5x-3)-(6x-5)+1=-7(x-1)-(7x+6)+3 equation: 


Simplifying
-1(5x + -3) + -1(6x + -5) + 1 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
-1(-3 + 5x) + -1(6x + -5) + 1 = -7(x + -1) + -1(7x + 6) + 3
(-3 * -1 + 5x * -1) + -1(6x + -5) + 1 = -7(x + -1) + -1(7x + 6) + 3
(3 + -5x) + -1(6x + -5) + 1 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
3 + -5x + -1(-5 + 6x) + 1 = -7(x + -1) + -1(7x + 6) + 3
3 + -5x + (-5 * -1 + 6x * -1) + 1 = -7(x + -1) + -1(7x + 6) + 3
3 + -5x + (5 + -6x) + 1 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
3 + 5 + 1 + -5x + -6x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: 3 + 5 = 8
8 + 1 + -5x + -6x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: 8 + 1 = 9
9 + -5x + -6x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: -5x + -6x = -11x
9 + -11x = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
9 + -11x = -7(-1 + x) + -1(7x + 6) + 3
9 + -11x = (-1 * -7 + x * -7) + -1(7x + 6) + 3
9 + -11x = (7 + -7x) + -1(7x + 6) + 3

Reorder the terms:
9 + -11x = 7 + -7x + -1(6 + 7x) + 3
9 + -11x = 7 + -7x + (6 * -1 + 7x * -1) + 3
9 + -11x = 7 + -7x + (-6 + -7x) + 3

Reorder the terms:
9 + -11x = 7 + -6 + 3 + -7x + -7x

Combine like terms: 7 + -6 = 1
9 + -11x = 1 + 3 + -7x + -7x

Combine like terms: 1 + 3 = 4
9 + -11x = 4 + -7x + -7x

Combine like terms: -7x + -7x = -14x
9 + -11x = 4 + -14x

Solving
9 + -11x = 4 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
9 + -11x + 14x = 4 + -14x + 14x

Combine like terms: -11x + 14x = 3x
9 + 3x = 4 + -14x + 14x

Combine like terms: -14x + 14x = 0
9 + 3x = 4 + 0
9 + 3x = 4

Add '-9' to each side of the equation.
9 + -9 + 3x = 4 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 4 + -9
3x = 4 + -9

Combine like terms: 4 + -9 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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