(7x+6)+(5x+3)=(3x-9)

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Solution for (7x+6)+(5x+3)=(3x-9) equation:


Simplifying
(7x + 6) + (5x + 3) = (3x + -9)

Reorder the terms:
(6 + 7x) + (5x + 3) = (3x + -9)

Remove parenthesis around (6 + 7x)
6 + 7x + (5x + 3) = (3x + -9)

Reorder the terms:
6 + 7x + (3 + 5x) = (3x + -9)

Remove parenthesis around (3 + 5x)
6 + 7x + 3 + 5x = (3x + -9)

Reorder the terms:
6 + 3 + 7x + 5x = (3x + -9)

Combine like terms: 6 + 3 = 9
9 + 7x + 5x = (3x + -9)

Combine like terms: 7x + 5x = 12x
9 + 12x = (3x + -9)

Reorder the terms:
9 + 12x = (-9 + 3x)

Remove parenthesis around (-9 + 3x)
9 + 12x = -9 + 3x

Solving
9 + 12x = -9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 12x + -3x = -9 + 3x + -3x

Combine like terms: 12x + -3x = 9x
9 + 9x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 9x = -9 + 0
9 + 9x = -9

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

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

Combine like terms: -9 + -9 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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