3x-[4x-(5x+1)]-3=-(4x+2)

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Solution for 3x-[4x-(5x+1)]-3=-(4x+2) equation:


Simplifying
3x + -1[4x + -1(5x + 1)] + -3 = -1(4x + 2)

Reorder the terms:
3x + -1[4x + -1(1 + 5x)] + -3 = -1(4x + 2)
3x + -1[4x + (1 * -1 + 5x * -1)] + -3 = -1(4x + 2)
3x + -1[4x + (-1 + -5x)] + -3 = -1(4x + 2)

Reorder the terms:
3x + -1[-1 + 4x + -5x] + -3 = -1(4x + 2)

Combine like terms: 4x + -5x = -1x
3x + -1[-1 + -1x] + -3 = -1(4x + 2)
3x + [-1 * -1 + -1x * -1] + -3 = -1(4x + 2)
3x + [1 + 1x] + -3 = -1(4x + 2)

Reorder the terms:
1 + -3 + 3x + 1x = -1(4x + 2)

Combine like terms: 1 + -3 = -2
-2 + 3x + 1x = -1(4x + 2)

Combine like terms: 3x + 1x = 4x
-2 + 4x = -1(4x + 2)

Reorder the terms:
-2 + 4x = -1(2 + 4x)
-2 + 4x = (2 * -1 + 4x * -1)
-2 + 4x = (-2 + -4x)

Add '2' to each side of the equation.
-2 + 2 + 4x = -2 + 2 + -4x

Combine like terms: -2 + 2 = 0
0 + 4x = -2 + 2 + -4x
4x = -2 + 2 + -4x

Combine like terms: -2 + 2 = 0
4x = 0 + -4x
4x = -4x

Solving
4x = -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.
4x + 4x = -4x + 4x

Combine like terms: 4x + 4x = 8x
8x = -4x + 4x

Combine like terms: -4x + 4x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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