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

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


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

Reorder the terms:
-4(-4 + 4x) + -1(5x + -9) + 9 = -9(x + -5) + -1(4x + 5) + 6
(-4 * -4 + 4x * -4) + -1(5x + -9) + 9 = -9(x + -5) + -1(4x + 5) + 6
(16 + -16x) + -1(5x + -9) + 9 = -9(x + -5) + -1(4x + 5) + 6

Reorder the terms:
16 + -16x + -1(-9 + 5x) + 9 = -9(x + -5) + -1(4x + 5) + 6
16 + -16x + (-9 * -1 + 5x * -1) + 9 = -9(x + -5) + -1(4x + 5) + 6
16 + -16x + (9 + -5x) + 9 = -9(x + -5) + -1(4x + 5) + 6

Reorder the terms:
16 + 9 + 9 + -16x + -5x = -9(x + -5) + -1(4x + 5) + 6

Combine like terms: 16 + 9 = 25
25 + 9 + -16x + -5x = -9(x + -5) + -1(4x + 5) + 6

Combine like terms: 25 + 9 = 34
34 + -16x + -5x = -9(x + -5) + -1(4x + 5) + 6

Combine like terms: -16x + -5x = -21x
34 + -21x = -9(x + -5) + -1(4x + 5) + 6

Reorder the terms:
34 + -21x = -9(-5 + x) + -1(4x + 5) + 6
34 + -21x = (-5 * -9 + x * -9) + -1(4x + 5) + 6
34 + -21x = (45 + -9x) + -1(4x + 5) + 6

Reorder the terms:
34 + -21x = 45 + -9x + -1(5 + 4x) + 6
34 + -21x = 45 + -9x + (5 * -1 + 4x * -1) + 6
34 + -21x = 45 + -9x + (-5 + -4x) + 6

Reorder the terms:
34 + -21x = 45 + -5 + 6 + -9x + -4x

Combine like terms: 45 + -5 = 40
34 + -21x = 40 + 6 + -9x + -4x

Combine like terms: 40 + 6 = 46
34 + -21x = 46 + -9x + -4x

Combine like terms: -9x + -4x = -13x
34 + -21x = 46 + -13x

Solving
34 + -21x = 46 + -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.
34 + -21x + 13x = 46 + -13x + 13x

Combine like terms: -21x + 13x = -8x
34 + -8x = 46 + -13x + 13x

Combine like terms: -13x + 13x = 0
34 + -8x = 46 + 0
34 + -8x = 46

Add '-34' to each side of the equation.
34 + -34 + -8x = 46 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = 46 + -34
-8x = 46 + -34

Combine like terms: 46 + -34 = 12
-8x = 12

Divide each side by '-8'.
x = -1.5

Simplifying
x = -1.5

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