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

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


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

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

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

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

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

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

Combine like terms: -6x + -7x = -13x
17 + -13x = -9(x + -1) + -1(9x + 10) + 3

Reorder the terms:
17 + -13x = -9(-1 + x) + -1(9x + 10) + 3
17 + -13x = (-1 * -9 + x * -9) + -1(9x + 10) + 3
17 + -13x = (9 + -9x) + -1(9x + 10) + 3

Reorder the terms:
17 + -13x = 9 + -9x + -1(10 + 9x) + 3
17 + -13x = 9 + -9x + (10 * -1 + 9x * -1) + 3
17 + -13x = 9 + -9x + (-10 + -9x) + 3

Reorder the terms:
17 + -13x = 9 + -10 + 3 + -9x + -9x

Combine like terms: 9 + -10 = -1
17 + -13x = -1 + 3 + -9x + -9x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -9x + -9x

Combine like terms: -9x + -9x = -18x
17 + -13x = 2 + -18x

Solving
17 + -13x = 2 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + -13x + 18x = 2 + -18x + 18x

Combine like terms: -13x + 18x = 5x
17 + 5x = 2 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 5x = 2 + 0
17 + 5x = 2

Add '-17' to each side of the equation.
17 + -17 + 5x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 2 + -17
5x = 2 + -17

Combine like terms: 2 + -17 = -15
5x = -15

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

Simplifying
x = -3

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