32-[4+6x-5(x+4)]=4(3x+4)-[6(3x-4)+7-4x]

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Solution for 32-[4+6x-5(x+4)]=4(3x+4)-[6(3x-4)+7-4x] equation:


Simplifying
32 + -1[4 + 6x + -5(x + 4)] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Reorder the terms:
32 + -1[4 + 6x + -5(4 + x)] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]
32 + -1[4 + 6x + (4 * -5 + x * -5)] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]
32 + -1[4 + 6x + (-20 + -5x)] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Reorder the terms:
32 + -1[4 + -20 + 6x + -5x] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Combine like terms: 4 + -20 = -16
32 + -1[-16 + 6x + -5x] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Combine like terms: 6x + -5x = 1x
32 + -1[-16 + 1x] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]
32 + [-16 * -1 + 1x * -1] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]
32 + [16 + -1x] = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Combine like terms: 32 + 16 = 48
48 + -1x = 4(3x + 4) + -1[6(3x + -4) + 7 + -4x]

Reorder the terms:
48 + -1x = 4(4 + 3x) + -1[6(3x + -4) + 7 + -4x]
48 + -1x = (4 * 4 + 3x * 4) + -1[6(3x + -4) + 7 + -4x]
48 + -1x = (16 + 12x) + -1[6(3x + -4) + 7 + -4x]

Reorder the terms:
48 + -1x = 16 + 12x + -1[6(-4 + 3x) + 7 + -4x]
48 + -1x = 16 + 12x + -1[(-4 * 6 + 3x * 6) + 7 + -4x]
48 + -1x = 16 + 12x + -1[(-24 + 18x) + 7 + -4x]

Reorder the terms:
48 + -1x = 16 + 12x + -1[-24 + 7 + 18x + -4x]

Combine like terms: -24 + 7 = -17
48 + -1x = 16 + 12x + -1[-17 + 18x + -4x]

Combine like terms: 18x + -4x = 14x
48 + -1x = 16 + 12x + -1[-17 + 14x]
48 + -1x = 16 + 12x + [-17 * -1 + 14x * -1]
48 + -1x = 16 + 12x + [17 + -14x]

Reorder the terms:
48 + -1x = 16 + 17 + 12x + -14x

Combine like terms: 16 + 17 = 33
48 + -1x = 33 + 12x + -14x

Combine like terms: 12x + -14x = -2x
48 + -1x = 33 + -2x

Solving
48 + -1x = 33 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
48 + -1x + 2x = 33 + -2x + 2x

Combine like terms: -1x + 2x = 1x
48 + 1x = 33 + -2x + 2x

Combine like terms: -2x + 2x = 0
48 + 1x = 33 + 0
48 + 1x = 33

Add '-48' to each side of the equation.
48 + -48 + 1x = 33 + -48

Combine like terms: 48 + -48 = 0
0 + 1x = 33 + -48
1x = 33 + -48

Combine like terms: 33 + -48 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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