2x+6=84-11x

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Solution for 2x+6=84-11x equation:


Simplifying
2x + 6 = 84 + -11x

Reorder the terms:
6 + 2x = 84 + -11x

Solving
6 + 2x = 84 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
6 + 2x + 11x = 84 + -11x + 11x

Combine like terms: 2x + 11x = 13x
6 + 13x = 84 + -11x + 11x

Combine like terms: -11x + 11x = 0
6 + 13x = 84 + 0
6 + 13x = 84

Add '-6' to each side of the equation.
6 + -6 + 13x = 84 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 84 + -6
13x = 84 + -6

Combine like terms: 84 + -6 = 78
13x = 78

Divide each side by '13'.
x = 6

Simplifying
x = 6

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