(3x+2)-5(3x+2)+6=0

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Solution for (3x+2)-5(3x+2)+6=0 equation:


Simplifying
(3x + 2) + -5(3x + 2) + 6 = 0

Reorder the terms:
(2 + 3x) + -5(3x + 2) + 6 = 0

Remove parenthesis around (2 + 3x)
2 + 3x + -5(3x + 2) + 6 = 0

Reorder the terms:
2 + 3x + -5(2 + 3x) + 6 = 0
2 + 3x + (2 * -5 + 3x * -5) + 6 = 0
2 + 3x + (-10 + -15x) + 6 = 0

Reorder the terms:
2 + -10 + 6 + 3x + -15x = 0

Combine like terms: 2 + -10 = -8
-8 + 6 + 3x + -15x = 0

Combine like terms: -8 + 6 = -2
-2 + 3x + -15x = 0

Combine like terms: 3x + -15x = -12x
-2 + -12x = 0

Solving
-2 + -12x = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -12x = 0 + 2

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

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

Divide each side by '-12'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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