2(3x+4)+3(x+4)=-41

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Solution for 2(3x+4)+3(x+4)=-41 equation: 


Simplifying
2(3x + 4) + 3(x + 4) = -41

Reorder the terms:
2(4 + 3x) + 3(x + 4) = -41
(4 * 2 + 3x * 2) + 3(x + 4) = -41
(8 + 6x) + 3(x + 4) = -41

Reorder the terms:
8 + 6x + 3(4 + x) = -41
8 + 6x + (4 * 3 + x * 3) = -41
8 + 6x + (12 + 3x) = -41

Reorder the terms:
8 + 12 + 6x + 3x = -41

Combine like terms: 8 + 12 = 20
20 + 6x + 3x = -41

Combine like terms: 6x + 3x = 9x
20 + 9x = -41

Solving
20 + 9x = -41

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 9x = -41 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = -41 + -20
9x = -41 + -20

Combine like terms: -41 + -20 = -61
9x = -61

Divide each side by '9'.
x = -6.777777778

Simplifying
x = -6.777777778

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