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

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


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

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

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

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

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

Combine like terms: 14 + 3 = 17
17 + -8x + -3x = -8(x + -8) + -1(5x + 8) + 3

Combine like terms: -8x + -3x = -11x
17 + -11x = -8(x + -8) + -1(5x + 8) + 3

Reorder the terms:
17 + -11x = -8(-8 + x) + -1(5x + 8) + 3
17 + -11x = (-8 * -8 + x * -8) + -1(5x + 8) + 3
17 + -11x = (64 + -8x) + -1(5x + 8) + 3

Reorder the terms:
17 + -11x = 64 + -8x + -1(8 + 5x) + 3
17 + -11x = 64 + -8x + (8 * -1 + 5x * -1) + 3
17 + -11x = 64 + -8x + (-8 + -5x) + 3

Reorder the terms:
17 + -11x = 64 + -8 + 3 + -8x + -5x

Combine like terms: 64 + -8 = 56
17 + -11x = 56 + 3 + -8x + -5x

Combine like terms: 56 + 3 = 59
17 + -11x = 59 + -8x + -5x

Combine like terms: -8x + -5x = -13x
17 + -11x = 59 + -13x

Solving
17 + -11x = 59 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
17 + -11x + 13x = 59 + -13x + 13x

Combine like terms: -11x + 13x = 2x
17 + 2x = 59 + -13x + 13x

Combine like terms: -13x + 13x = 0
17 + 2x = 59 + 0
17 + 2x = 59

Add '-17' to each side of the equation.
17 + -17 + 2x = 59 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 59 + -17
2x = 59 + -17

Combine like terms: 59 + -17 = 42
2x = 42

Divide each side by '2'.
x = 21

Simplifying
x = 21

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