(7x+6)+(4x+12)=(12x+9)

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Solution for (7x+6)+(4x+12)=(12x+9) equation:


Simplifying
(7x + 6) + (4x + 12) = (12x + 9)

Reorder the terms:
(6 + 7x) + (4x + 12) = (12x + 9)

Remove parenthesis around (6 + 7x)
6 + 7x + (4x + 12) = (12x + 9)

Reorder the terms:
6 + 7x + (12 + 4x) = (12x + 9)

Remove parenthesis around (12 + 4x)
6 + 7x + 12 + 4x = (12x + 9)

Reorder the terms:
6 + 12 + 7x + 4x = (12x + 9)

Combine like terms: 6 + 12 = 18
18 + 7x + 4x = (12x + 9)

Combine like terms: 7x + 4x = 11x
18 + 11x = (12x + 9)

Reorder the terms:
18 + 11x = (9 + 12x)

Remove parenthesis around (9 + 12x)
18 + 11x = 9 + 12x

Solving
18 + 11x = 9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
18 + 11x + -12x = 9 + 12x + -12x

Combine like terms: 11x + -12x = -1x
18 + -1x = 9 + 12x + -12x

Combine like terms: 12x + -12x = 0
18 + -1x = 9 + 0
18 + -1x = 9

Add '-18' to each side of the equation.
18 + -18 + -1x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 9 + -18
-1x = 9 + -18

Combine like terms: 9 + -18 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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