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

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


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

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

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

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

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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: 20x + -33x = -13x
17 + -13x + y = 8 + 33x + -33x

Combine like terms: 33x + -33x = 0
17 + -13x + y = 8 + 0
17 + -13x + y = 8

Add '-17' to each side of the equation.
17 + -13x + -17 + y = 8 + -17

Reorder the terms:
17 + -17 + -13x + y = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -13x + y = 8 + -17
-13x + y = 8 + -17

Combine like terms: 8 + -17 = -9
-13x + y = -9

Add '-1y' to each side of the equation.
-13x + y + -1y = -9 + -1y

Combine like terms: y + -1y = 0
-13x + 0 = -9 + -1y
-13x = -9 + -1y

Divide each side by '-13'.
x = 0.6923076923 + 0.07692307692y

Simplifying
x = 0.6923076923 + 0.07692307692y

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