-(2x-4)-(8x-6)+13=-8(x-1)-(7x+8)+3

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Solution for -(2x-4)-(8x-6)+13=-8(x-1)-(7x+8)+3 equation:


Simplifying
-1(2x + -4) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3

Reorder the terms:
-1(-4 + 2x) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3
(-4 * -1 + 2x * -1) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3
(4 + -2x) + -1(8x + -6) + 13 = -8(x + -1) + -1(7x + 8) + 3

Reorder the terms:
4 + -2x + -1(-6 + 8x) + 13 = -8(x + -1) + -1(7x + 8) + 3
4 + -2x + (-6 * -1 + 8x * -1) + 13 = -8(x + -1) + -1(7x + 8) + 3
4 + -2x + (6 + -8x) + 13 = -8(x + -1) + -1(7x + 8) + 3

Reorder the terms:
4 + 6 + 13 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3

Combine like terms: 4 + 6 = 10
10 + 13 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3

Combine like terms: 10 + 13 = 23
23 + -2x + -8x = -8(x + -1) + -1(7x + 8) + 3

Combine like terms: -2x + -8x = -10x
23 + -10x = -8(x + -1) + -1(7x + 8) + 3

Reorder the terms:
23 + -10x = -8(-1 + x) + -1(7x + 8) + 3
23 + -10x = (-1 * -8 + x * -8) + -1(7x + 8) + 3
23 + -10x = (8 + -8x) + -1(7x + 8) + 3

Reorder the terms:
23 + -10x = 8 + -8x + -1(8 + 7x) + 3
23 + -10x = 8 + -8x + (8 * -1 + 7x * -1) + 3
23 + -10x = 8 + -8x + (-8 + -7x) + 3

Reorder the terms:
23 + -10x = 8 + -8 + 3 + -8x + -7x

Combine like terms: 8 + -8 = 0
23 + -10x = 0 + 3 + -8x + -7x
23 + -10x = 3 + -8x + -7x

Combine like terms: -8x + -7x = -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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