2(7y+3)+(6y+11)+x=(33y+8)

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Solution for 2(7y+3)+(6y+11)+x=(33y+8) equation:


Simplifying
2(7y + 3) + (6y + 11) + x = (33y + 8)

Reorder the terms:
2(3 + 7y) + (6y + 11) + x = (33y + 8)
(3 * 2 + 7y * 2) + (6y + 11) + x = (33y + 8)
(6 + 14y) + (6y + 11) + x = (33y + 8)

Reorder the terms:
6 + 14y + (11 + 6y) + x = (33y + 8)

Remove parenthesis around (11 + 6y)
6 + 14y + 11 + 6y + x = (33y + 8)

Reorder the terms:
6 + 11 + x + 14y + 6y = (33y + 8)

Combine like terms: 6 + 11 = 17
17 + x + 14y + 6y = (33y + 8)

Combine like terms: 14y + 6y = 20y
17 + x + 20y = (33y + 8)

Reorder the terms:
17 + x + 20y = (8 + 33y)

Remove parenthesis around (8 + 33y)
17 + x + 20y = 8 + 33y

Solving
17 + x + 20y = 8 + 33y

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + x + -17 + 20y = 8 + -17 + 33y

Reorder the terms:
17 + -17 + x + 20y = 8 + -17 + 33y

Combine like terms: 17 + -17 = 0
0 + x + 20y = 8 + -17 + 33y
x + 20y = 8 + -17 + 33y

Combine like terms: 8 + -17 = -9
x + 20y = -9 + 33y

Add '-20y' to each side of the equation.
x + 20y + -20y = -9 + 33y + -20y

Combine like terms: 20y + -20y = 0
x + 0 = -9 + 33y + -20y
x = -9 + 33y + -20y

Combine like terms: 33y + -20y = 13y
x = -9 + 13y

Simplifying
x = -9 + 13y

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