-4+2(4x+5)-7(2-4x)+3-2(8x-5)=3(4-5x)-3+1(12x-2)+20

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Solution for -4+2(4x+5)-7(2-4x)+3-2(8x-5)=3(4-5x)-3+1(12x-2)+20 equation: 


Simplifying
-4 + 2(4x + 5) + -7(2 + -4x) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Reorder the terms:
-4 + 2(5 + 4x) + -7(2 + -4x) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + (5 * 2 + 4x * 2) + -7(2 + -4x) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + (10 + 8x) + -7(2 + -4x) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + 10 + 8x + (2 * -7 + -4x * -7) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + 10 + 8x + (-14 + 28x) + 3 + -2(8x + -5) = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Reorder the terms:
-4 + 10 + 8x + -14 + 28x + 3 + -2(-5 + 8x) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + 10 + 8x + -14 + 28x + 3 + (-5 * -2 + 8x * -2) = 3(4 + -5x) + -3 + 1(12x + -2) + 20
-4 + 10 + 8x + -14 + 28x + 3 + (10 + -16x) = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Reorder the terms:
-4 + 10 + -14 + 3 + 10 + 8x + 28x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: -4 + 10 = 6
6 + -14 + 3 + 10 + 8x + 28x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: 6 + -14 = -8
-8 + 3 + 10 + 8x + 28x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: -8 + 3 = -5
-5 + 10 + 8x + 28x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: -5 + 10 = 5
5 + 8x + 28x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: 8x + 28x = 36x
5 + 36x + -16x = 3(4 + -5x) + -3 + 1(12x + -2) + 20

Combine like terms: 36x + -16x = 20x
5 + 20x = 3(4 + -5x) + -3 + 1(12x + -2) + 20
5 + 20x = (4 * 3 + -5x * 3) + -3 + 1(12x + -2) + 20
5 + 20x = (12 + -15x) + -3 + 1(12x + -2) + 20

Reorder the terms:
5 + 20x = 12 + -15x + -3 + 1(-2 + 12x) + 20
5 + 20x = 12 + -15x + -3 + (-2 * 1 + 12x * 1) + 20
5 + 20x = 12 + -15x + -3 + (-2 + 12x) + 20

Reorder the terms:
5 + 20x = 12 + -3 + -2 + 20 + -15x + 12x

Combine like terms: 12 + -3 = 9
5 + 20x = 9 + -2 + 20 + -15x + 12x

Combine like terms: 9 + -2 = 7
5 + 20x = 7 + 20 + -15x + 12x

Combine like terms: 7 + 20 = 27
5 + 20x = 27 + -15x + 12x

Combine like terms: -15x + 12x = -3x
5 + 20x = 27 + -3x

Solving
5 + 20x = 27 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 20x + 3x = 27 + -3x + 3x

Combine like terms: 20x + 3x = 23x
5 + 23x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 23x = 27 + 0
5 + 23x = 27

Add '-5' to each side of the equation.
5 + -5 + 23x = 27 + -5

Combine like terms: 5 + -5 = 0
0 + 23x = 27 + -5
23x = 27 + -5

Combine like terms: 27 + -5 = 22
23x = 22

Divide each side by '23'.
x = 0.9565217391

Simplifying
x = 0.9565217391

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