5x+(2x+6)=(8x-11)

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Solution for 5x+(2x+6)=(8x-11) equation:


Simplifying
5x + (2x + 6) = (8x + -11)

Reorder the terms:
5x + (6 + 2x) = (8x + -11)

Remove parenthesis around (6 + 2x)
5x + 6 + 2x = (8x + -11)

Reorder the terms:
6 + 5x + 2x = (8x + -11)

Combine like terms: 5x + 2x = 7x
6 + 7x = (8x + -11)

Reorder the terms:
6 + 7x = (-11 + 8x)

Remove parenthesis around (-11 + 8x)
6 + 7x = -11 + 8x

Solving
6 + 7x = -11 + 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.
6 + 7x + -8x = -11 + 8x + -8x

Combine like terms: 7x + -8x = -1x
6 + -1x = -11 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -1x = -11 + 0
6 + -1x = -11

Add '-6' to each side of the equation.
6 + -6 + -1x = -11 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -11 + -6
-1x = -11 + -6

Combine like terms: -11 + -6 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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