(12-x)-(3x+4)=-x-1

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Solution for (12-x)-(3x+4)=-x-1 equation:


Simplifying
(12 + -1x) + -1(3x + 4) = -1x + -1

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

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

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

Combine like terms: 12 + -4 = 8
8 + -1x + -3x = -1x + -1

Combine like terms: -1x + -3x = -4x
8 + -4x = -1x + -1

Reorder the terms:
8 + -4x = -1 + -1x

Solving
8 + -4x = -1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
8 + -4x + x = -1 + -1x + x

Combine like terms: -4x + x = -3x
8 + -3x = -1 + -1x + x

Combine like terms: -1x + x = 0
8 + -3x = -1 + 0
8 + -3x = -1

Add '-8' to each side of the equation.
8 + -8 + -3x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -1 + -8
-3x = -1 + -8

Combine like terms: -1 + -8 = -9
-3x = -9

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

Simplifying
x = 3

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