6=-3(x+1)-(6+2x)

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Solution for 6=-3(x+1)-(6+2x) equation:


Simplifying
6 = -3(x + 1) + -1(6 + 2x)

Reorder the terms:
6 = -3(1 + x) + -1(6 + 2x)
6 = (1 * -3 + x * -3) + -1(6 + 2x)
6 = (-3 + -3x) + -1(6 + 2x)
6 = -3 + -3x + (6 * -1 + 2x * -1)
6 = -3 + -3x + (-6 + -2x)

Reorder the terms:
6 = -3 + -6 + -3x + -2x

Combine like terms: -3 + -6 = -9
6 = -9 + -3x + -2x

Combine like terms: -3x + -2x = -5x
6 = -9 + -5x

Solving
6 = -9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 5x = -9 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 5x = -9 + 0
6 + 5x = -9

Add '-6' to each side of the equation.
6 + -6 + 5x = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -9 + -6
5x = -9 + -6

Combine like terms: -9 + -6 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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