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

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


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

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

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

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

Reorder the terms:
3 + 15 + 6 + x + 5x = 0

Combine like terms: 3 + 15 = 18
18 + 6 + x + 5x = 0

Combine like terms: 18 + 6 = 24
24 + x + 5x = 0

Combine like terms: x + 5x = 6x
24 + 6x = 0

Solving
24 + 6x = 0

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 6x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6x = 0 + -24
6x = 0 + -24

Combine like terms: 0 + -24 = -24
6x = -24

Divide each side by '6'.
x = -4

Simplifying
x = -4

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