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

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


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

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

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

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

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

Solving
2 + 6x = -6 + -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.
2 + 6x + 6x = -6 + -6x + 6x

Combine like terms: 6x + 6x = 12x
2 + 12x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 12x = -6 + 0
2 + 12x = -6

Add '-2' to each side of the equation.
2 + -2 + 12x = -6 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = -6 + -2
12x = -6 + -2

Combine like terms: -6 + -2 = -8
12x = -8

Divide each side by '12'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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