-(7x-5)-(6x-6)+6=-16(x-1)-(2x+17)+3

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Solution for -(7x-5)-(6x-6)+6=-16(x-1)-(2x+17)+3 equation:


Simplifying
-1(7x + -5) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3

Reorder the terms:
-1(-5 + 7x) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3
(-5 * -1 + 7x * -1) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3
(5 + -7x) + -1(6x + -6) + 6 = -16(x + -1) + -1(2x + 17) + 3

Reorder the terms:
5 + -7x + -1(-6 + 6x) + 6 = -16(x + -1) + -1(2x + 17) + 3
5 + -7x + (-6 * -1 + 6x * -1) + 6 = -16(x + -1) + -1(2x + 17) + 3
5 + -7x + (6 + -6x) + 6 = -16(x + -1) + -1(2x + 17) + 3

Reorder the terms:
5 + 6 + 6 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3

Combine like terms: 5 + 6 = 11
11 + 6 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3

Combine like terms: 11 + 6 = 17
17 + -7x + -6x = -16(x + -1) + -1(2x + 17) + 3

Combine like terms: -7x + -6x = -13x
17 + -13x = -16(x + -1) + -1(2x + 17) + 3

Reorder the terms:
17 + -13x = -16(-1 + x) + -1(2x + 17) + 3
17 + -13x = (-1 * -16 + x * -16) + -1(2x + 17) + 3
17 + -13x = (16 + -16x) + -1(2x + 17) + 3

Reorder the terms:
17 + -13x = 16 + -16x + -1(17 + 2x) + 3
17 + -13x = 16 + -16x + (17 * -1 + 2x * -1) + 3
17 + -13x = 16 + -16x + (-17 + -2x) + 3

Reorder the terms:
17 + -13x = 16 + -17 + 3 + -16x + -2x

Combine like terms: 16 + -17 = -1
17 + -13x = -1 + 3 + -16x + -2x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -16x + -2x

Combine like terms: -16x + -2x = -18x
17 + -13x = 2 + -18x

Solving
17 + -13x = 2 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
17 + -13x + 18x = 2 + -18x + 18x

Combine like terms: -13x + 18x = 5x
17 + 5x = 2 + -18x + 18x

Combine like terms: -18x + 18x = 0
17 + 5x = 2 + 0
17 + 5x = 2

Add '-17' to each side of the equation.
17 + -17 + 5x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 2 + -17
5x = 2 + -17

Combine like terms: 2 + -17 = -15
5x = -15

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

Simplifying
x = -3

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