3x+11=9x-14

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Solution for 3x+11=9x-14 equation:


Simplifying
3x + 11 = 9x + -14

Reorder the terms:
11 + 3x = 9x + -14

Reorder the terms:
11 + 3x = -14 + 9x

Solving
11 + 3x = -14 + 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.
11 + 3x + -9x = -14 + 9x + -9x

Combine like terms: 3x + -9x = -6x
11 + -6x = -14 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + -6x = -14 + 0
11 + -6x = -14

Add '-11' to each side of the equation.
11 + -11 + -6x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -14 + -11
-6x = -14 + -11

Combine like terms: -14 + -11 = -25
-6x = -25

Divide each side by '-6'.
x = 4.166666667

Simplifying
x = 4.166666667

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