3x+11=12x-6

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Solution for 3x+11=12x-6 equation:


Simplifying
3x + 11 = 12x + -6

Reorder the terms:
11 + 3x = 12x + -6

Reorder the terms:
11 + 3x = -6 + 12x

Solving
11 + 3x = -6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
11 + 3x + -12x = -6 + 12x + -12x

Combine like terms: 3x + -12x = -9x
11 + -9x = -6 + 12x + -12x

Combine like terms: 12x + -12x = 0
11 + -9x = -6 + 0
11 + -9x = -6

Add '-11' to each side of the equation.
11 + -11 + -9x = -6 + -11

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

Combine like terms: -6 + -11 = -17
-9x = -17

Divide each side by '-9'.
x = 1.888888889

Simplifying
x = 1.888888889

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