-(5x-3)-(8x-6)+8=-8(x-1)-(8x+9)+3

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Solution for -(5x-3)-(8x-6)+8=-8(x-1)-(8x+9)+3 equation:


Simplifying
-1(5x + -3) + -1(8x + -6) + 8 = -8(x + -1) + -1(8x + 9) + 3

Reorder the terms:
-1(-3 + 5x) + -1(8x + -6) + 8 = -8(x + -1) + -1(8x + 9) + 3
(-3 * -1 + 5x * -1) + -1(8x + -6) + 8 = -8(x + -1) + -1(8x + 9) + 3
(3 + -5x) + -1(8x + -6) + 8 = -8(x + -1) + -1(8x + 9) + 3

Reorder the terms:
3 + -5x + -1(-6 + 8x) + 8 = -8(x + -1) + -1(8x + 9) + 3
3 + -5x + (-6 * -1 + 8x * -1) + 8 = -8(x + -1) + -1(8x + 9) + 3
3 + -5x + (6 + -8x) + 8 = -8(x + -1) + -1(8x + 9) + 3

Reorder the terms:
3 + 6 + 8 + -5x + -8x = -8(x + -1) + -1(8x + 9) + 3

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

Combine like terms: 9 + 8 = 17
17 + -5x + -8x = -8(x + -1) + -1(8x + 9) + 3

Combine like terms: -5x + -8x = -13x
17 + -13x = -8(x + -1) + -1(8x + 9) + 3

Reorder the terms:
17 + -13x = -8(-1 + x) + -1(8x + 9) + 3
17 + -13x = (-1 * -8 + x * -8) + -1(8x + 9) + 3
17 + -13x = (8 + -8x) + -1(8x + 9) + 3

Reorder the terms:
17 + -13x = 8 + -8x + -1(9 + 8x) + 3
17 + -13x = 8 + -8x + (9 * -1 + 8x * -1) + 3
17 + -13x = 8 + -8x + (-9 + -8x) + 3

Reorder the terms:
17 + -13x = 8 + -9 + 3 + -8x + -8x

Combine like terms: 8 + -9 = -1
17 + -13x = -1 + 3 + -8x + -8x

Combine like terms: -1 + 3 = 2
17 + -13x = 2 + -8x + -8x

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