2(3x+1)+3(x+4)=0

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Solution for 2(3x+1)+3(x+4)=0 equation:


Simplifying
2(3x + 1) + 3(x + 4) = 0

Reorder the terms:
2(1 + 3x) + 3(x + 4) = 0
(1 * 2 + 3x * 2) + 3(x + 4) = 0
(2 + 6x) + 3(x + 4) = 0

Reorder the terms:
2 + 6x + 3(4 + x) = 0
2 + 6x + (4 * 3 + x * 3) = 0
2 + 6x + (12 + 3x) = 0

Reorder the terms:
2 + 12 + 6x + 3x = 0

Combine like terms: 2 + 12 = 14
14 + 6x + 3x = 0

Combine like terms: 6x + 3x = 9x
14 + 9x = 0

Solving
14 + 9x = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 9x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = 0 + -14
9x = 0 + -14

Combine like terms: 0 + -14 = -14
9x = -14

Divide each side by '9'.
x = -1.555555556

Simplifying
x = -1.555555556

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