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

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


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

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

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

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

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

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

Solving
-11 + 8x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-11 + 8x + -7x = 6 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-11 + 1x = 6 + 0
-11 + 1x = 6

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

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

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

Divide each side by '1'.
x = 17

Simplifying
x = 17

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