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

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


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

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

Remove parenthesis around (5 + 3x)
5 + 3x + 3 = -6(2x + -1)

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

Combine like terms: 5 + 3 = 8
8 + 3x = -6(2x + -1)

Reorder the terms:
8 + 3x = -6(-1 + 2x)
8 + 3x = (-1 * -6 + 2x * -6)
8 + 3x = (6 + -12x)

Solving
8 + 3x = 6 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
8 + 3x + 12x = 6 + -12x + 12x

Combine like terms: 3x + 12x = 15x
8 + 15x = 6 + -12x + 12x

Combine like terms: -12x + 12x = 0
8 + 15x = 6 + 0
8 + 15x = 6

Add '-8' to each side of the equation.
8 + -8 + 15x = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 15x = 6 + -8
15x = 6 + -8

Combine like terms: 6 + -8 = -2
15x = -2

Divide each side by '15'.
x = -0.1333333333

Simplifying
x = -0.1333333333

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