-(10x-3)-(3x-5)+9=-6(x-1)-(10x+7)+3

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Solution for -(10x-3)-(3x-5)+9=-6(x-1)-(10x+7)+3 equation: 


Simplifying
-1(10x + -3) + -1(3x + -5) + 9 = -6(x + -1) + -1(10x + 7) + 3

Reorder the terms:
-1(-3 + 10x) + -1(3x + -5) + 9 = -6(x + -1) + -1(10x + 7) + 3
(-3 * -1 + 10x * -1) + -1(3x + -5) + 9 = -6(x + -1) + -1(10x + 7) + 3
(3 + -10x) + -1(3x + -5) + 9 = -6(x + -1) + -1(10x + 7) + 3

Reorder the terms:
3 + -10x + -1(-5 + 3x) + 9 = -6(x + -1) + -1(10x + 7) + 3
3 + -10x + (-5 * -1 + 3x * -1) + 9 = -6(x + -1) + -1(10x + 7) + 3
3 + -10x + (5 + -3x) + 9 = -6(x + -1) + -1(10x + 7) + 3

Reorder the terms:
3 + 5 + 9 + -10x + -3x = -6(x + -1) + -1(10x + 7) + 3

Combine like terms: 3 + 5 = 8
8 + 9 + -10x + -3x = -6(x + -1) + -1(10x + 7) + 3

Combine like terms: 8 + 9 = 17
17 + -10x + -3x = -6(x + -1) + -1(10x + 7) + 3

Combine like terms: -10x + -3x = -13x
17 + -13x = -6(x + -1) + -1(10x + 7) + 3

Reorder the terms:
17 + -13x = -6(-1 + x) + -1(10x + 7) + 3
17 + -13x = (-1 * -6 + x * -6) + -1(10x + 7) + 3
17 + -13x = (6 + -6x) + -1(10x + 7) + 3

Reorder the terms:
17 + -13x = 6 + -6x + -1(7 + 10x) + 3
17 + -13x = 6 + -6x + (7 * -1 + 10x * -1) + 3
17 + -13x = 6 + -6x + (-7 + -10x) + 3

Reorder the terms:
17 + -13x = 6 + -7 + 3 + -6x + -10x

Combine like terms: 6 + -7 = -1
17 + -13x = -1 + 3 + -6x + -10x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -6x + -10x

Combine like terms: -6x + -10x = -16x
17 + -13x = 2 + -16x

Solving
17 + -13x = 2 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
17 + -13x + 16x = 2 + -16x + 16x

Combine like terms: -13x + 16x = 3x
17 + 3x = 2 + -16x + 16x

Combine like terms: -16x + 16x = 0
17 + 3x = 2 + 0
17 + 3x = 2

Add '-17' to each side of the equation.
17 + -17 + 3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 2 + -17
3x = 2 + -17

Combine like terms: 2 + -17 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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