11-(x+7)=3x-5x-6

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Solution for 11-(x+7)=3x-5x-6 equation:


Simplifying
11 + -1(x + 7) = 3x + -5x + -6

Reorder the terms:
11 + -1(7 + x) = 3x + -5x + -6
11 + (7 * -1 + x * -1) = 3x + -5x + -6
11 + (-7 + -1x) = 3x + -5x + -6

Combine like terms: 11 + -7 = 4
4 + -1x = 3x + -5x + -6

Reorder the terms:
4 + -1x = -6 + 3x + -5x

Combine like terms: 3x + -5x = -2x
4 + -1x = -6 + -2x

Solving
4 + -1x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
4 + -1x + 2x = -6 + -2x + 2x

Combine like terms: -1x + 2x = 1x
4 + 1x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 1x = -6 + 0
4 + 1x = -6

Add '-4' to each side of the equation.
4 + -4 + 1x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -6 + -4
1x = -6 + -4

Combine like terms: -6 + -4 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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