2x+19=11x-17

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Solution for 2x+19=11x-17 equation:


Simplifying
2x + 19 = 11x + -17

Reorder the terms:
19 + 2x = 11x + -17

Reorder the terms:
19 + 2x = -17 + 11x

Solving
19 + 2x = -17 + 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 + 2x + -11x = -17 + 11x + -11x

Combine like terms: 2x + -11x = -9x
19 + -9x = -17 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + -9x = -17 + 0
19 + -9x = -17

Add '-19' to each side of the equation.
19 + -19 + -9x = -17 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = -17 + -19
-9x = -17 + -19

Combine like terms: -17 + -19 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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