(7x+6)+(4x+14)=(12x+11)

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Solution for (7x+6)+(4x+14)=(12x+11) equation:


Simplifying
(7x + 6) + (4x + 14) = (12x + 11)

Reorder the terms:
(6 + 7x) + (4x + 14) = (12x + 11)

Remove parenthesis around (6 + 7x)
6 + 7x + (4x + 14) = (12x + 11)

Reorder the terms:
6 + 7x + (14 + 4x) = (12x + 11)

Remove parenthesis around (14 + 4x)
6 + 7x + 14 + 4x = (12x + 11)

Reorder the terms:
6 + 14 + 7x + 4x = (12x + 11)

Combine like terms: 6 + 14 = 20
20 + 7x + 4x = (12x + 11)

Combine like terms: 7x + 4x = 11x
20 + 11x = (12x + 11)

Reorder the terms:
20 + 11x = (11 + 12x)

Remove parenthesis around (11 + 12x)
20 + 11x = 11 + 12x

Solving
20 + 11x = 11 + 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.
20 + 11x + -12x = 11 + 12x + -12x

Combine like terms: 11x + -12x = -1x
20 + -1x = 11 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -1x = 11 + 0
20 + -1x = 11

Add '-20' to each side of the equation.
20 + -20 + -1x = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 11 + -20
-1x = 11 + -20

Combine like terms: 11 + -20 = -9
-1x = -9

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

Simplifying
x = 9

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