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

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


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

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

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

Combine like terms: 12 + 5 = 17
17 + 6x = -3(2x + -1)

Reorder the terms:
17 + 6x = -3(-1 + 2x)
17 + 6x = (-1 * -3 + 2x * -3)
17 + 6x = (3 + -6x)

Solving
17 + 6x = 3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + 6x + 6x = 3 + -6x + 6x

Combine like terms: 6x + 6x = 12x
17 + 12x = 3 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + 12x = 3 + 0
17 + 12x = 3

Add '-17' to each side of the equation.
17 + -17 + 12x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + 12x = 3 + -17
12x = 3 + -17

Combine like terms: 3 + -17 = -14
12x = -14

Divide each side by '12'.
x = -1.166666667

Simplifying
x = -1.166666667

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