(3x+7)-6=12x-(x+4)-(4x-5)

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Solution for (3x+7)-6=12x-(x+4)-(4x-5) equation:


Simplifying
(3x + 7) + -6 = 12x + -1(x + 4) + -1(4x + -5)

Reorder the terms:
(7 + 3x) + -6 = 12x + -1(x + 4) + -1(4x + -5)

Remove parenthesis around (7 + 3x)
7 + 3x + -6 = 12x + -1(x + 4) + -1(4x + -5)

Reorder the terms:
7 + -6 + 3x = 12x + -1(x + 4) + -1(4x + -5)

Combine like terms: 7 + -6 = 1
1 + 3x = 12x + -1(x + 4) + -1(4x + -5)

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

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

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

Combine like terms: -4 + 5 = 1
1 + 3x = 1 + 12x + -1x + -4x

Combine like terms: 12x + -1x = 11x
1 + 3x = 1 + 11x + -4x

Combine like terms: 11x + -4x = 7x
1 + 3x = 1 + 7x

Add '-1' to each side of the equation.
1 + -1 + 3x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
0 + 3x = 1 + -1 + 7x
3x = 1 + -1 + 7x

Combine like terms: 1 + -1 = 0
3x = 0 + 7x
3x = 7x

Solving
3x = 7x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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