-(3x-4)-(4x-6)+3=-6(x-1)-(5x+4)+3

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Solution for -(3x-4)-(4x-6)+3=-6(x-1)-(5x+4)+3 equation:


Simplifying
-1(3x + -4) + -1(4x + -6) + 3 = -6(x + -1) + -1(5x + 4) + 3

Reorder the terms:
-1(-4 + 3x) + -1(4x + -6) + 3 = -6(x + -1) + -1(5x + 4) + 3
(-4 * -1 + 3x * -1) + -1(4x + -6) + 3 = -6(x + -1) + -1(5x + 4) + 3
(4 + -3x) + -1(4x + -6) + 3 = -6(x + -1) + -1(5x + 4) + 3

Reorder the terms:
4 + -3x + -1(-6 + 4x) + 3 = -6(x + -1) + -1(5x + 4) + 3
4 + -3x + (-6 * -1 + 4x * -1) + 3 = -6(x + -1) + -1(5x + 4) + 3
4 + -3x + (6 + -4x) + 3 = -6(x + -1) + -1(5x + 4) + 3

Reorder the terms:
4 + 6 + 3 + -3x + -4x = -6(x + -1) + -1(5x + 4) + 3

Combine like terms: 4 + 6 = 10
10 + 3 + -3x + -4x = -6(x + -1) + -1(5x + 4) + 3

Combine like terms: 10 + 3 = 13
13 + -3x + -4x = -6(x + -1) + -1(5x + 4) + 3

Combine like terms: -3x + -4x = -7x
13 + -7x = -6(x + -1) + -1(5x + 4) + 3

Reorder the terms:
13 + -7x = -6(-1 + x) + -1(5x + 4) + 3
13 + -7x = (-1 * -6 + x * -6) + -1(5x + 4) + 3
13 + -7x = (6 + -6x) + -1(5x + 4) + 3

Reorder the terms:
13 + -7x = 6 + -6x + -1(4 + 5x) + 3
13 + -7x = 6 + -6x + (4 * -1 + 5x * -1) + 3
13 + -7x = 6 + -6x + (-4 + -5x) + 3

Reorder the terms:
13 + -7x = 6 + -4 + 3 + -6x + -5x

Combine like terms: 6 + -4 = 2
13 + -7x = 2 + 3 + -6x + -5x

Combine like terms: 2 + 3 = 5
13 + -7x = 5 + -6x + -5x

Combine like terms: -6x + -5x = -11x
13 + -7x = 5 + -11x

Solving
13 + -7x = 5 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
13 + -7x + 11x = 5 + -11x + 11x

Combine like terms: -7x + 11x = 4x
13 + 4x = 5 + -11x + 11x

Combine like terms: -11x + 11x = 0
13 + 4x = 5 + 0
13 + 4x = 5

Add '-13' to each side of the equation.
13 + -13 + 4x = 5 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 5 + -13
4x = 5 + -13

Combine like terms: 5 + -13 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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