-(7x-3)-(6x-5)+9=-14(x-1)-(2x+15)+3

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Solution for -(7x-3)-(6x-5)+9=-14(x-1)-(2x+15)+3 equation:


Simplifying
-1(7x + -3) + -1(6x + -5) + 9 = -14(x + -1) + -1(2x + 15) + 3

Reorder the terms:
-1(-3 + 7x) + -1(6x + -5) + 9 = -14(x + -1) + -1(2x + 15) + 3
(-3 * -1 + 7x * -1) + -1(6x + -5) + 9 = -14(x + -1) + -1(2x + 15) + 3
(3 + -7x) + -1(6x + -5) + 9 = -14(x + -1) + -1(2x + 15) + 3

Reorder the terms:
3 + -7x + -1(-5 + 6x) + 9 = -14(x + -1) + -1(2x + 15) + 3
3 + -7x + (-5 * -1 + 6x * -1) + 9 = -14(x + -1) + -1(2x + 15) + 3
3 + -7x + (5 + -6x) + 9 = -14(x + -1) + -1(2x + 15) + 3

Reorder the terms:
3 + 5 + 9 + -7x + -6x = -14(x + -1) + -1(2x + 15) + 3

Combine like terms: 3 + 5 = 8
8 + 9 + -7x + -6x = -14(x + -1) + -1(2x + 15) + 3

Combine like terms: 8 + 9 = 17
17 + -7x + -6x = -14(x + -1) + -1(2x + 15) + 3

Combine like terms: -7x + -6x = -13x
17 + -13x = -14(x + -1) + -1(2x + 15) + 3

Reorder the terms:
17 + -13x = -14(-1 + x) + -1(2x + 15) + 3
17 + -13x = (-1 * -14 + x * -14) + -1(2x + 15) + 3
17 + -13x = (14 + -14x) + -1(2x + 15) + 3

Reorder the terms:
17 + -13x = 14 + -14x + -1(15 + 2x) + 3
17 + -13x = 14 + -14x + (15 * -1 + 2x * -1) + 3
17 + -13x = 14 + -14x + (-15 + -2x) + 3

Reorder the terms:
17 + -13x = 14 + -15 + 3 + -14x + -2x

Combine like terms: 14 + -15 = -1
17 + -13x = -1 + 3 + -14x + -2x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -14x + -2x

Combine like terms: -14x + -2x = -16x
17 + -13x = 2 + -16x

Solving
17 + -13x = 2 + -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.
17 + -13x + 16x = 2 + -16x + 16x

Combine like terms: -13x + 16x = 3x
17 + 3x = 2 + -16x + 16x

Combine like terms: -16x + 16x = 0
17 + 3x = 2 + 0
17 + 3x = 2

Add '-17' to each side of the equation.
17 + -17 + 3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 2 + -17
3x = 2 + -17

Combine like terms: 2 + -17 = -15
3x = -15

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

Simplifying
x = -5

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