3x+9=11x+6-5x-10

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Solution for 3x+9=11x+6-5x-10 equation:


Simplifying
3x + 9 = 11x + 6 + -5x + -10

Reorder the terms:
9 + 3x = 11x + 6 + -5x + -10

Reorder the terms:
9 + 3x = 6 + -10 + 11x + -5x

Combine like terms: 6 + -10 = -4
9 + 3x = -4 + 11x + -5x

Combine like terms: 11x + -5x = 6x
9 + 3x = -4 + 6x

Solving
9 + 3x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 3x + -6x = -4 + 6x + -6x

Combine like terms: 3x + -6x = -3x
9 + -3x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -3x = -4 + 0
9 + -3x = -4

Add '-9' to each side of the equation.
9 + -9 + -3x = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -4 + -9
-3x = -4 + -9

Combine like terms: -4 + -9 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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