8x-9-6x+14=11x-9-10+13

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Solution for 8x-9-6x+14=11x-9-10+13 equation:


Simplifying
8x + -9 + -6x + 14 = 11x + -9 + -10 + 13

Reorder the terms:
-9 + 14 + 8x + -6x = 11x + -9 + -10 + 13

Combine like terms: -9 + 14 = 5
5 + 8x + -6x = 11x + -9 + -10 + 13

Combine like terms: 8x + -6x = 2x
5 + 2x = 11x + -9 + -10 + 13

Reorder the terms:
5 + 2x = -9 + -10 + 13 + 11x

Combine like terms: -9 + -10 = -19
5 + 2x = -19 + 13 + 11x

Combine like terms: -19 + 13 = -6
5 + 2x = -6 + 11x

Solving
5 + 2x = -6 + 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.
5 + 2x + -11x = -6 + 11x + -11x

Combine like terms: 2x + -11x = -9x
5 + -9x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
5 + -9x = -6 + 0
5 + -9x = -6

Add '-5' to each side of the equation.
5 + -5 + -9x = -6 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = -6 + -5
-9x = -6 + -5

Combine like terms: -6 + -5 = -11
-9x = -11

Divide each side by '-9'.
x = 1.222222222

Simplifying
x = 1.222222222

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