3x+6=11x-80

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Solution for 3x+6=11x-80 equation:


Simplifying
3x + 6 = 11x + -80

Reorder the terms:
6 + 3x = 11x + -80

Reorder the terms:
6 + 3x = -80 + 11x

Solving
6 + 3x = -80 + 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 + 3x + -11x = -80 + 11x + -11x

Combine like terms: 3x + -11x = -8x
6 + -8x = -80 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + -8x = -80 + 0
6 + -8x = -80

Add '-6' to each side of the equation.
6 + -6 + -8x = -80 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -80 + -6
-8x = -80 + -6

Combine like terms: -80 + -6 = -86
-8x = -86

Divide each side by '-8'.
x = 10.75

Simplifying
x = 10.75

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