-(2x-4)-(7x-5)+3=-6(x-1)-(8x+7)+3

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Solution for -(2x-4)-(7x-5)+3=-6(x-1)-(8x+7)+3 equation:


Simplifying
-1(2x + -4) + -1(7x + -5) + 3 = -6(x + -1) + -1(8x + 7) + 3

Reorder the terms:
-1(-4 + 2x) + -1(7x + -5) + 3 = -6(x + -1) + -1(8x + 7) + 3
(-4 * -1 + 2x * -1) + -1(7x + -5) + 3 = -6(x + -1) + -1(8x + 7) + 3
(4 + -2x) + -1(7x + -5) + 3 = -6(x + -1) + -1(8x + 7) + 3

Reorder the terms:
4 + -2x + -1(-5 + 7x) + 3 = -6(x + -1) + -1(8x + 7) + 3
4 + -2x + (-5 * -1 + 7x * -1) + 3 = -6(x + -1) + -1(8x + 7) + 3
4 + -2x + (5 + -7x) + 3 = -6(x + -1) + -1(8x + 7) + 3

Reorder the terms:
4 + 5 + 3 + -2x + -7x = -6(x + -1) + -1(8x + 7) + 3

Combine like terms: 4 + 5 = 9
9 + 3 + -2x + -7x = -6(x + -1) + -1(8x + 7) + 3

Combine like terms: 9 + 3 = 12
12 + -2x + -7x = -6(x + -1) + -1(8x + 7) + 3

Combine like terms: -2x + -7x = -9x
12 + -9x = -6(x + -1) + -1(8x + 7) + 3

Reorder the terms:
12 + -9x = -6(-1 + x) + -1(8x + 7) + 3
12 + -9x = (-1 * -6 + x * -6) + -1(8x + 7) + 3
12 + -9x = (6 + -6x) + -1(8x + 7) + 3

Reorder the terms:
12 + -9x = 6 + -6x + -1(7 + 8x) + 3
12 + -9x = 6 + -6x + (7 * -1 + 8x * -1) + 3
12 + -9x = 6 + -6x + (-7 + -8x) + 3

Reorder the terms:
12 + -9x = 6 + -7 + 3 + -6x + -8x

Combine like terms: 6 + -7 = -1
12 + -9x = -1 + 3 + -6x + -8x

Combine like terms: -1 + 3 = 2
12 + -9x = 2 + -6x + -8x

Combine like terms: -6x + -8x = -14x
12 + -9x = 2 + -14x

Solving
12 + -9x = 2 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
12 + -9x + 14x = 2 + -14x + 14x

Combine like terms: -9x + 14x = 5x
12 + 5x = 2 + -14x + 14x

Combine like terms: -14x + 14x = 0
12 + 5x = 2 + 0
12 + 5x = 2

Add '-12' to each side of the equation.
12 + -12 + 5x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 2 + -12
5x = 2 + -12

Combine like terms: 2 + -12 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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