-(7x-3)-(4x-6)+10=-3(x-1)-(13x+2)+3

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Solution for -(7x-3)-(4x-6)+10=-3(x-1)-(13x+2)+3 equation: 


Simplifying
-1(7x + -3) + -1(4x + -6) + 10 = -3(x + -1) + -1(13x + 2) + 3

Reorder the terms:
-1(-3 + 7x) + -1(4x + -6) + 10 = -3(x + -1) + -1(13x + 2) + 3
(-3 * -1 + 7x * -1) + -1(4x + -6) + 10 = -3(x + -1) + -1(13x + 2) + 3
(3 + -7x) + -1(4x + -6) + 10 = -3(x + -1) + -1(13x + 2) + 3

Reorder the terms:
3 + -7x + -1(-6 + 4x) + 10 = -3(x + -1) + -1(13x + 2) + 3
3 + -7x + (-6 * -1 + 4x * -1) + 10 = -3(x + -1) + -1(13x + 2) + 3
3 + -7x + (6 + -4x) + 10 = -3(x + -1) + -1(13x + 2) + 3

Reorder the terms:
3 + 6 + 10 + -7x + -4x = -3(x + -1) + -1(13x + 2) + 3

Combine like terms: 3 + 6 = 9
9 + 10 + -7x + -4x = -3(x + -1) + -1(13x + 2) + 3

Combine like terms: 9 + 10 = 19
19 + -7x + -4x = -3(x + -1) + -1(13x + 2) + 3

Combine like terms: -7x + -4x = -11x
19 + -11x = -3(x + -1) + -1(13x + 2) + 3

Reorder the terms:
19 + -11x = -3(-1 + x) + -1(13x + 2) + 3
19 + -11x = (-1 * -3 + x * -3) + -1(13x + 2) + 3
19 + -11x = (3 + -3x) + -1(13x + 2) + 3

Reorder the terms:
19 + -11x = 3 + -3x + -1(2 + 13x) + 3
19 + -11x = 3 + -3x + (2 * -1 + 13x * -1) + 3
19 + -11x = 3 + -3x + (-2 + -13x) + 3

Reorder the terms:
19 + -11x = 3 + -2 + 3 + -3x + -13x

Combine like terms: 3 + -2 = 1
19 + -11x = 1 + 3 + -3x + -13x

Combine like terms: 1 + 3 = 4
19 + -11x = 4 + -3x + -13x

Combine like terms: -3x + -13x = -16x
19 + -11x = 4 + -16x

Solving
19 + -11x = 4 + -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.
19 + -11x + 16x = 4 + -16x + 16x

Combine like terms: -11x + 16x = 5x
19 + 5x = 4 + -16x + 16x

Combine like terms: -16x + 16x = 0
19 + 5x = 4 + 0
19 + 5x = 4

Add '-19' to each side of the equation.
19 + -19 + 5x = 4 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = 4 + -19
5x = 4 + -19

Combine like terms: 4 + -19 = -15
5x = -15

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

Simplifying
x = -3

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