3(x+4)+x=-6(3+x)

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Solution for 3(x+4)+x=-6(3+x) equation: 


Simplifying
3(x + 4) + x = -6(3 + x)

Reorder the terms:
3(4 + x) + x = -6(3 + x)
(4 * 3 + x * 3) + x = -6(3 + x)
(12 + 3x) + x = -6(3 + x)

Combine like terms: 3x + x = 4x
12 + 4x = -6(3 + x)
12 + 4x = (3 * -6 + x * -6)
12 + 4x = (-18 + -6x)

Solving
12 + 4x = -18 + -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.
12 + 4x + 6x = -18 + -6x + 6x

Combine like terms: 4x + 6x = 10x
12 + 10x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
12 + 10x = -18 + 0
12 + 10x = -18

Add '-12' to each side of the equation.
12 + -12 + 10x = -18 + -12

Combine like terms: 12 + -12 = 0
0 + 10x = -18 + -12
10x = -18 + -12

Combine like terms: -18 + -12 = -30
10x = -30

Divide each side by '10'.
x = -3

Simplifying
x = -3

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