5*x+11=19*x-17

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Solution for 5*x+11=19*x-17 equation: 


Simplifying
5x + 11 = 19x + -17

Reorder the terms:
11 + 5x = 19x + -17

Reorder the terms:
11 + 5x = -17 + 19x

Solving
11 + 5x = -17 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
11 + 5x + -19x = -17 + 19x + -19x

Combine like terms: 5x + -19x = -14x
11 + -14x = -17 + 19x + -19x

Combine like terms: 19x + -19x = 0
11 + -14x = -17 + 0
11 + -14x = -17

Add '-11' to each side of the equation.
11 + -11 + -14x = -17 + -11

Combine like terms: 11 + -11 = 0
0 + -14x = -17 + -11
-14x = -17 + -11

Combine like terms: -17 + -11 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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