-(5x-3)-(5x-6)+14=-6(x-1)-(9x+6)+3

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Solution for -(5x-3)-(5x-6)+14=-6(x-1)-(9x+6)+3 equation:


Simplifying
-1(5x + -3) + -1(5x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3

Reorder the terms:
-1(-3 + 5x) + -1(5x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3
(-3 * -1 + 5x * -1) + -1(5x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3
(3 + -5x) + -1(5x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3

Reorder the terms:
3 + -5x + -1(-6 + 5x) + 14 = -6(x + -1) + -1(9x + 6) + 3
3 + -5x + (-6 * -1 + 5x * -1) + 14 = -6(x + -1) + -1(9x + 6) + 3
3 + -5x + (6 + -5x) + 14 = -6(x + -1) + -1(9x + 6) + 3

Reorder the terms:
3 + 6 + 14 + -5x + -5x = -6(x + -1) + -1(9x + 6) + 3

Combine like terms: 3 + 6 = 9
9 + 14 + -5x + -5x = -6(x + -1) + -1(9x + 6) + 3

Combine like terms: 9 + 14 = 23
23 + -5x + -5x = -6(x + -1) + -1(9x + 6) + 3

Combine like terms: -5x + -5x = -10x
23 + -10x = -6(x + -1) + -1(9x + 6) + 3

Reorder the terms:
23 + -10x = -6(-1 + x) + -1(9x + 6) + 3
23 + -10x = (-1 * -6 + x * -6) + -1(9x + 6) + 3
23 + -10x = (6 + -6x) + -1(9x + 6) + 3

Reorder the terms:
23 + -10x = 6 + -6x + -1(6 + 9x) + 3
23 + -10x = 6 + -6x + (6 * -1 + 9x * -1) + 3
23 + -10x = 6 + -6x + (-6 + -9x) + 3

Reorder the terms:
23 + -10x = 6 + -6 + 3 + -6x + -9x

Combine like terms: 6 + -6 = 0
23 + -10x = 0 + 3 + -6x + -9x
23 + -10x = 3 + -6x + -9x

Combine like terms: -6x + -9x = -15x
23 + -10x = 3 + -15x

Solving
23 + -10x = 3 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
23 + -10x + 15x = 3 + -15x + 15x

Combine like terms: -10x + 15x = 5x
23 + 5x = 3 + -15x + 15x

Combine like terms: -15x + 15x = 0
23 + 5x = 3 + 0
23 + 5x = 3

Add '-23' to each side of the equation.
23 + -23 + 5x = 3 + -23

Combine like terms: 23 + -23 = 0
0 + 5x = 3 + -23
5x = 3 + -23

Combine like terms: 3 + -23 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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