-(2x-3)-(9x-6)+10=-7(x-1)-(7x+6)+3

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Solution for -(2x-3)-(9x-6)+10=-7(x-1)-(7x+6)+3 equation: 


Simplifying
-1(2x + -3) + -1(9x + -6) + 10 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
-1(-3 + 2x) + -1(9x + -6) + 10 = -7(x + -1) + -1(7x + 6) + 3
(-3 * -1 + 2x * -1) + -1(9x + -6) + 10 = -7(x + -1) + -1(7x + 6) + 3
(3 + -2x) + -1(9x + -6) + 10 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
3 + -2x + -1(-6 + 9x) + 10 = -7(x + -1) + -1(7x + 6) + 3
3 + -2x + (-6 * -1 + 9x * -1) + 10 = -7(x + -1) + -1(7x + 6) + 3
3 + -2x + (6 + -9x) + 10 = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
3 + 6 + 10 + -2x + -9x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: 3 + 6 = 9
9 + 10 + -2x + -9x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: 9 + 10 = 19
19 + -2x + -9x = -7(x + -1) + -1(7x + 6) + 3

Combine like terms: -2x + -9x = -11x
19 + -11x = -7(x + -1) + -1(7x + 6) + 3

Reorder the terms:
19 + -11x = -7(-1 + x) + -1(7x + 6) + 3
19 + -11x = (-1 * -7 + x * -7) + -1(7x + 6) + 3
19 + -11x = (7 + -7x) + -1(7x + 6) + 3

Reorder the terms:
19 + -11x = 7 + -7x + -1(6 + 7x) + 3
19 + -11x = 7 + -7x + (6 * -1 + 7x * -1) + 3
19 + -11x = 7 + -7x + (-6 + -7x) + 3

Reorder the terms:
19 + -11x = 7 + -6 + 3 + -7x + -7x

Combine like terms: 7 + -6 = 1
19 + -11x = 1 + 3 + -7x + -7x

Combine like terms: 1 + 3 = 4
19 + -11x = 4 + -7x + -7x

Combine like terms: -7x + -7x = -14x
19 + -11x = 4 + -14x

Solving
19 + -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.
19 + -11x + 14x = 4 + -14x + 14x

Combine like terms: -11x + 14x = 3x
19 + 3x = 4 + -14x + 14x

Combine like terms: -14x + 14x = 0
19 + 3x = 4 + 0
19 + 3x = 4

Add '-19' to each side of the equation.
19 + -19 + 3x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + 3x = 4 + -19
3x = 4 + -19

Combine like terms: 4 + -19 = -15
3x = -15

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

Simplifying
x = -5

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