(2x-11)+(6x+5)=18

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Solution for (2x-11)+(6x+5)=18 equation:


Simplifying
(2x + -11) + (6x + 5) = 18

Reorder the terms:
(-11 + 2x) + (6x + 5) = 18

Remove parenthesis around (-11 + 2x)
-11 + 2x + (6x + 5) = 18

Reorder the terms:
-11 + 2x + (5 + 6x) = 18

Remove parenthesis around (5 + 6x)
-11 + 2x + 5 + 6x = 18

Reorder the terms:
-11 + 5 + 2x + 6x = 18

Combine like terms: -11 + 5 = -6
-6 + 2x + 6x = 18

Combine like terms: 2x + 6x = 8x
-6 + 8x = 18

Solving
-6 + 8x = 18

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 18 + 6
8x = 18 + 6

Combine like terms: 18 + 6 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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