2x+6=71-9x

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Solution for 2x+6=71-9x equation:


Simplifying
2x + 6 = 71 + -9x

Reorder the terms:
6 + 2x = 71 + -9x

Solving
6 + 2x = 71 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
6 + 2x + 9x = 71 + -9x + 9x

Combine like terms: 2x + 9x = 11x
6 + 11x = 71 + -9x + 9x

Combine like terms: -9x + 9x = 0
6 + 11x = 71 + 0
6 + 11x = 71

Add '-6' to each side of the equation.
6 + -6 + 11x = 71 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 71 + -6
11x = 71 + -6

Combine like terms: 71 + -6 = 65
11x = 65

Divide each side by '11'.
x = 5.909090909

Simplifying
x = 5.909090909

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