-2(3x-8)+6(-2x+5)-9x=3(4x-11)-7(-2x-7)+5

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Solution for -2(3x-8)+6(-2x+5)-9x=3(4x-11)-7(-2x-7)+5 equation: 


Simplifying
-2(3x + -8) + 6(-2x + 5) + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Reorder the terms:
-2(-8 + 3x) + 6(-2x + 5) + -9x = 3(4x + -11) + -7(-2x + -7) + 5
(-8 * -2 + 3x * -2) + 6(-2x + 5) + -9x = 3(4x + -11) + -7(-2x + -7) + 5
(16 + -6x) + 6(-2x + 5) + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Reorder the terms:
16 + -6x + 6(5 + -2x) + -9x = 3(4x + -11) + -7(-2x + -7) + 5
16 + -6x + (5 * 6 + -2x * 6) + -9x = 3(4x + -11) + -7(-2x + -7) + 5
16 + -6x + (30 + -12x) + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Reorder the terms:
16 + 30 + -6x + -12x + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Combine like terms: 16 + 30 = 46
46 + -6x + -12x + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Combine like terms: -6x + -12x = -18x
46 + -18x + -9x = 3(4x + -11) + -7(-2x + -7) + 5

Combine like terms: -18x + -9x = -27x
46 + -27x = 3(4x + -11) + -7(-2x + -7) + 5

Reorder the terms:
46 + -27x = 3(-11 + 4x) + -7(-2x + -7) + 5
46 + -27x = (-11 * 3 + 4x * 3) + -7(-2x + -7) + 5
46 + -27x = (-33 + 12x) + -7(-2x + -7) + 5

Reorder the terms:
46 + -27x = -33 + 12x + -7(-7 + -2x) + 5
46 + -27x = -33 + 12x + (-7 * -7 + -2x * -7) + 5
46 + -27x = -33 + 12x + (49 + 14x) + 5

Reorder the terms:
46 + -27x = -33 + 49 + 5 + 12x + 14x

Combine like terms: -33 + 49 = 16
46 + -27x = 16 + 5 + 12x + 14x

Combine like terms: 16 + 5 = 21
46 + -27x = 21 + 12x + 14x

Combine like terms: 12x + 14x = 26x
46 + -27x = 21 + 26x

Solving
46 + -27x = 21 + 26x

Solving for variable 'x'.

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

Add '-26x' to each side of the equation.
46 + -27x + -26x = 21 + 26x + -26x

Combine like terms: -27x + -26x = -53x
46 + -53x = 21 + 26x + -26x

Combine like terms: 26x + -26x = 0
46 + -53x = 21 + 0
46 + -53x = 21

Add '-46' to each side of the equation.
46 + -46 + -53x = 21 + -46

Combine like terms: 46 + -46 = 0
0 + -53x = 21 + -46
-53x = 21 + -46

Combine like terms: 21 + -46 = -25
-53x = -25

Divide each side by '-53'.
x = 0.4716981132

Simplifying
x = 0.4716981132

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