16-(-2X-4)+(-5X-3X+4)=-(-X+7)-(6X-4-7)

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Solution for 16-(-2X-4)+(-5X-3X+4)=-(-X+7)-(6X-4-7) equation:


Simplifying
16 + -1(-2X + -4) + (-5X + -3X + 4) = -1(-1X + 7) + -1(6X + -4 + -7)

Reorder the terms:
16 + -1(-4 + -2X) + (-5X + -3X + 4) = -1(-1X + 7) + -1(6X + -4 + -7)
16 + (-4 * -1 + -2X * -1) + (-5X + -3X + 4) = -1(-1X + 7) + -1(6X + -4 + -7)
16 + (4 + 2X) + (-5X + -3X + 4) = -1(-1X + 7) + -1(6X + -4 + -7)

Reorder the terms:
16 + 4 + 2X + (4 + -5X + -3X) = -1(-1X + 7) + -1(6X + -4 + -7)

Combine like terms: -5X + -3X = -8X
16 + 4 + 2X + (4 + -8X) = -1(-1X + 7) + -1(6X + -4 + -7)

Remove parenthesis around (4 + -8X)
16 + 4 + 2X + 4 + -8X = -1(-1X + 7) + -1(6X + -4 + -7)

Reorder the terms:
16 + 4 + 4 + 2X + -8X = -1(-1X + 7) + -1(6X + -4 + -7)

Combine like terms: 16 + 4 = 20
20 + 4 + 2X + -8X = -1(-1X + 7) + -1(6X + -4 + -7)

Combine like terms: 20 + 4 = 24
24 + 2X + -8X = -1(-1X + 7) + -1(6X + -4 + -7)

Combine like terms: 2X + -8X = -6X
24 + -6X = -1(-1X + 7) + -1(6X + -4 + -7)

Reorder the terms:
24 + -6X = -1(7 + -1X) + -1(6X + -4 + -7)
24 + -6X = (7 * -1 + -1X * -1) + -1(6X + -4 + -7)
24 + -6X = (-7 + 1X) + -1(6X + -4 + -7)

Reorder the terms:
24 + -6X = -7 + 1X + -1(-4 + -7 + 6X)

Combine like terms: -4 + -7 = -11
24 + -6X = -7 + 1X + -1(-11 + 6X)
24 + -6X = -7 + 1X + (-11 * -1 + 6X * -1)
24 + -6X = -7 + 1X + (11 + -6X)

Reorder the terms:
24 + -6X = -7 + 11 + 1X + -6X

Combine like terms: -7 + 11 = 4
24 + -6X = 4 + 1X + -6X

Combine like terms: 1X + -6X = -5X
24 + -6X = 4 + -5X

Solving
24 + -6X = 4 + -5X

Solving for variable 'X'.

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

Add '5X' to each side of the equation.
24 + -6X + 5X = 4 + -5X + 5X

Combine like terms: -6X + 5X = -1X
24 + -1X = 4 + -5X + 5X

Combine like terms: -5X + 5X = 0
24 + -1X = 4 + 0
24 + -1X = 4

Add '-24' to each side of the equation.
24 + -24 + -1X = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -1X = 4 + -24
-1X = 4 + -24

Combine like terms: 4 + -24 = -20
-1X = -20

Divide each side by '-1'.
X = 20

Simplifying
X = 20

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