6-2[4-3(2x+1)-5(4-6x)]=12-4[8+3(4-7x)-5]-40x

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Solution for 6-2[4-3(2x+1)-5(4-6x)]=12-4[8+3(4-7x)-5]-40x equation:


Simplifying
6 + -2[4 + -3(2x + 1) + -5(4 + -6x)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Reorder the terms:
6 + -2[4 + -3(1 + 2x) + -5(4 + -6x)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + -2[4 + (1 * -3 + 2x * -3) + -5(4 + -6x)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + -2[4 + (-3 + -6x) + -5(4 + -6x)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + -2[4 + -3 + -6x + (4 * -5 + -6x * -5)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + -2[4 + -3 + -6x + (-20 + 30x)] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Reorder the terms:
6 + -2[4 + -3 + -20 + -6x + 30x] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Combine like terms: 4 + -3 = 1
6 + -2[1 + -20 + -6x + 30x] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Combine like terms: 1 + -20 = -19
6 + -2[-19 + -6x + 30x] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Combine like terms: -6x + 30x = 24x
6 + -2[-19 + 24x] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + [-19 * -2 + 24x * -2] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
6 + [38 + -48x] = 12 + -4[8 + 3(4 + -7x) + -5] + -40x

Combine like terms: 6 + 38 = 44
44 + -48x = 12 + -4[8 + 3(4 + -7x) + -5] + -40x
44 + -48x = 12 + -4[8 + (4 * 3 + -7x * 3) + -5] + -40x
44 + -48x = 12 + -4[8 + (12 + -21x) + -5] + -40x

Reorder the terms:
44 + -48x = 12 + -4[8 + 12 + -5 + -21x] + -40x

Combine like terms: 8 + 12 = 20
44 + -48x = 12 + -4[20 + -5 + -21x] + -40x

Combine like terms: 20 + -5 = 15
44 + -48x = 12 + -4[15 + -21x] + -40x
44 + -48x = 12 + [15 * -4 + -21x * -4] + -40x
44 + -48x = 12 + [-60 + 84x] + -40x

Combine like terms: 12 + -60 = -48
44 + -48x = -48 + 84x + -40x

Combine like terms: 84x + -40x = 44x
44 + -48x = -48 + 44x

Solving
44 + -48x = -48 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
44 + -48x + -44x = -48 + 44x + -44x

Combine like terms: -48x + -44x = -92x
44 + -92x = -48 + 44x + -44x

Combine like terms: 44x + -44x = 0
44 + -92x = -48 + 0
44 + -92x = -48

Add '-44' to each side of the equation.
44 + -44 + -92x = -48 + -44

Combine like terms: 44 + -44 = 0
0 + -92x = -48 + -44
-92x = -48 + -44

Combine like terms: -48 + -44 = -92
-92x = -92

Divide each side by '-92'.
x = 1

Simplifying
x = 1

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