2(x+6)+5=-3(x-1)-1

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Solution for 2(x+6)+5=-3(x-1)-1 equation: 


Simplifying
2(x + 6) + 5 = -3(x + -1) + -1

Reorder the terms:
2(6 + x) + 5 = -3(x + -1) + -1
(6 * 2 + x * 2) + 5 = -3(x + -1) + -1
(12 + 2x) + 5 = -3(x + -1) + -1

Reorder the terms:
12 + 5 + 2x = -3(x + -1) + -1

Combine like terms: 12 + 5 = 17
17 + 2x = -3(x + -1) + -1

Reorder the terms:
17 + 2x = -3(-1 + x) + -1
17 + 2x = (-1 * -3 + x * -3) + -1
17 + 2x = (3 + -3x) + -1

Reorder the terms:
17 + 2x = 3 + -1 + -3x

Combine like terms: 3 + -1 = 2
17 + 2x = 2 + -3x

Solving
17 + 2x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
17 + 2x + 3x = 2 + -3x + 3x

Combine like terms: 2x + 3x = 5x
17 + 5x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + 5x = 2 + 0
17 + 5x = 2

Add '-17' to each side of the equation.
17 + -17 + 5x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 5x = 2 + -17
5x = 2 + -17

Combine like terms: 2 + -17 = -15
5x = -15

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

Simplifying
x = -3

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