-(6x-4)-(5x-3)+6=-9(x-5)-(5x+8)+5

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Solution for -(6x-4)-(5x-3)+6=-9(x-5)-(5x+8)+5 equation:


Simplifying
-1(6x + -4) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5

Reorder the terms:
-1(-4 + 6x) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5
(-4 * -1 + 6x * -1) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5
(4 + -6x) + -1(5x + -3) + 6 = -9(x + -5) + -1(5x + 8) + 5

Reorder the terms:
4 + -6x + -1(-3 + 5x) + 6 = -9(x + -5) + -1(5x + 8) + 5
4 + -6x + (-3 * -1 + 5x * -1) + 6 = -9(x + -5) + -1(5x + 8) + 5
4 + -6x + (3 + -5x) + 6 = -9(x + -5) + -1(5x + 8) + 5

Reorder the terms:
4 + 3 + 6 + -6x + -5x = -9(x + -5) + -1(5x + 8) + 5

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

Combine like terms: 7 + 6 = 13
13 + -6x + -5x = -9(x + -5) + -1(5x + 8) + 5

Combine like terms: -6x + -5x = -11x
13 + -11x = -9(x + -5) + -1(5x + 8) + 5

Reorder the terms:
13 + -11x = -9(-5 + x) + -1(5x + 8) + 5
13 + -11x = (-5 * -9 + x * -9) + -1(5x + 8) + 5
13 + -11x = (45 + -9x) + -1(5x + 8) + 5

Reorder the terms:
13 + -11x = 45 + -9x + -1(8 + 5x) + 5
13 + -11x = 45 + -9x + (8 * -1 + 5x * -1) + 5
13 + -11x = 45 + -9x + (-8 + -5x) + 5

Reorder the terms:
13 + -11x = 45 + -8 + 5 + -9x + -5x

Combine like terms: 45 + -8 = 37
13 + -11x = 37 + 5 + -9x + -5x

Combine like terms: 37 + 5 = 42
13 + -11x = 42 + -9x + -5x

Combine like terms: -9x + -5x = -14x
13 + -11x = 42 + -14x

Solving
13 + -11x = 42 + -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.
13 + -11x + 14x = 42 + -14x + 14x

Combine like terms: -11x + 14x = 3x
13 + 3x = 42 + -14x + 14x

Combine like terms: -14x + 14x = 0
13 + 3x = 42 + 0
13 + 3x = 42

Add '-13' to each side of the equation.
13 + -13 + 3x = 42 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 42 + -13
3x = 42 + -13

Combine like terms: 42 + -13 = 29
3x = 29

Divide each side by '3'.
x = 9.666666667

Simplifying
x = 9.666666667

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