3x+5-(3x-(7(x-1)-5))=4(x-4)

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Solution for 3x+5-(3x-(7(x-1)-5))=4(x-4) equation: 


Simplifying
3x + 5 + -1(3x + -1(7(x + -1) + -5)) = 4(x + -4)

Reorder the terms:
3x + 5 + -1(3x + -1(7(-1 + x) + -5)) = 4(x + -4)
3x + 5 + -1(3x + -1((-1 * 7 + x * 7) + -5)) = 4(x + -4)
3x + 5 + -1(3x + -1((-7 + 7x) + -5)) = 4(x + -4)

Reorder the terms:
3x + 5 + -1(3x + -1(-7 + -5 + 7x)) = 4(x + -4)

Combine like terms: -7 + -5 = -12
3x + 5 + -1(3x + -1(-12 + 7x)) = 4(x + -4)
3x + 5 + -1(3x + (-12 * -1 + 7x * -1)) = 4(x + -4)
3x + 5 + -1(3x + (12 + -7x)) = 4(x + -4)

Reorder the terms:
3x + 5 + -1(12 + 3x + -7x) = 4(x + -4)

Combine like terms: 3x + -7x = -4x
3x + 5 + -1(12 + -4x) = 4(x + -4)
3x + 5 + (12 * -1 + -4x * -1) = 4(x + -4)
3x + 5 + (-12 + 4x) = 4(x + -4)

Reorder the terms:
5 + -12 + 3x + 4x = 4(x + -4)

Combine like terms: 5 + -12 = -7
-7 + 3x + 4x = 4(x + -4)

Combine like terms: 3x + 4x = 7x
-7 + 7x = 4(x + -4)

Reorder the terms:
-7 + 7x = 4(-4 + x)
-7 + 7x = (-4 * 4 + x * 4)
-7 + 7x = (-16 + 4x)

Solving
-7 + 7x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 7x + -4x = -16 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-7 + 3x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 3x = -16 + 0
-7 + 3x = -16

Add '7' to each side of the equation.
-7 + 7 + 3x = -16 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -16 + 7
3x = -16 + 7

Combine like terms: -16 + 7 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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