2x-3(4x-7+10-2x)-5=11-9(x-9)+3x-3

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Solution for 2x-3(4x-7+10-2x)-5=11-9(x-9)+3x-3 equation: 


Simplifying
2x + -3(4x + -7 + 10 + -2x) + -5 = 11 + -9(x + -9) + 3x + -3

Reorder the terms:
2x + -3(-7 + 10 + 4x + -2x) + -5 = 11 + -9(x + -9) + 3x + -3

Combine like terms: -7 + 10 = 3
2x + -3(3 + 4x + -2x) + -5 = 11 + -9(x + -9) + 3x + -3

Combine like terms: 4x + -2x = 2x
2x + -3(3 + 2x) + -5 = 11 + -9(x + -9) + 3x + -3
2x + (3 * -3 + 2x * -3) + -5 = 11 + -9(x + -9) + 3x + -3
2x + (-9 + -6x) + -5 = 11 + -9(x + -9) + 3x + -3

Reorder the terms:
-9 + -5 + 2x + -6x = 11 + -9(x + -9) + 3x + -3

Combine like terms: -9 + -5 = -14
-14 + 2x + -6x = 11 + -9(x + -9) + 3x + -3

Combine like terms: 2x + -6x = -4x
-14 + -4x = 11 + -9(x + -9) + 3x + -3

Reorder the terms:
-14 + -4x = 11 + -9(-9 + x) + 3x + -3
-14 + -4x = 11 + (-9 * -9 + x * -9) + 3x + -3
-14 + -4x = 11 + (81 + -9x) + 3x + -3

Reorder the terms:
-14 + -4x = 11 + 81 + -3 + -9x + 3x

Combine like terms: 11 + 81 = 92
-14 + -4x = 92 + -3 + -9x + 3x

Combine like terms: 92 + -3 = 89
-14 + -4x = 89 + -9x + 3x

Combine like terms: -9x + 3x = -6x
-14 + -4x = 89 + -6x

Solving
-14 + -4x = 89 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-14 + -4x + 6x = 89 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-14 + 2x = 89 + -6x + 6x

Combine like terms: -6x + 6x = 0
-14 + 2x = 89 + 0
-14 + 2x = 89

Add '14' to each side of the equation.
-14 + 14 + 2x = 89 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 89 + 14
2x = 89 + 14

Combine like terms: 89 + 14 = 103
2x = 103

Divide each side by '2'.
x = 51.5

Simplifying
x = 51.5

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