6x+19=11x-16

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Solution for 6x+19=11x-16 equation:


Simplifying
6x + 19 = 11x + -16

Reorder the terms:
19 + 6x = 11x + -16

Reorder the terms:
19 + 6x = -16 + 11x

Solving
19 + 6x = -16 + 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.
19 + 6x + -11x = -16 + 11x + -11x

Combine like terms: 6x + -11x = -5x
19 + -5x = -16 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + -5x = -16 + 0
19 + -5x = -16

Add '-19' to each side of the equation.
19 + -19 + -5x = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = -16 + -19
-5x = -16 + -19

Combine like terms: -16 + -19 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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