(2x+11)+(2x+11)=(8x-14)

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Solution for (2x+11)+(2x+11)=(8x-14) equation:


Simplifying
(2x + 11) + (2x + 11) = (8x + -14)

Reorder the terms:
(11 + 2x) + (2x + 11) = (8x + -14)

Remove parenthesis around (11 + 2x)
11 + 2x + (2x + 11) = (8x + -14)

Reorder the terms:
11 + 2x + (11 + 2x) = (8x + -14)

Remove parenthesis around (11 + 2x)
11 + 2x + 11 + 2x = (8x + -14)

Reorder the terms:
11 + 11 + 2x + 2x = (8x + -14)

Combine like terms: 11 + 11 = 22
22 + 2x + 2x = (8x + -14)

Combine like terms: 2x + 2x = 4x
22 + 4x = (8x + -14)

Reorder the terms:
22 + 4x = (-14 + 8x)

Remove parenthesis around (-14 + 8x)
22 + 4x = -14 + 8x

Solving
22 + 4x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
22 + 4x + -8x = -14 + 8x + -8x

Combine like terms: 4x + -8x = -4x
22 + -4x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
22 + -4x = -14 + 0
22 + -4x = -14

Add '-22' to each side of the equation.
22 + -22 + -4x = -14 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = -14 + -22
-4x = -14 + -22

Combine like terms: -14 + -22 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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