5x+19=3x-17

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Solution for 5x+19=3x-17 equation:


Simplifying
5x + 19 = 3x + -17

Reorder the terms:
19 + 5x = 3x + -17

Reorder the terms:
19 + 5x = -17 + 3x

Solving
19 + 5x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
19 + 5x + -3x = -17 + 3x + -3x

Combine like terms: 5x + -3x = 2x
19 + 2x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + 2x = -17 + 0
19 + 2x = -17

Add '-19' to each side of the equation.
19 + -19 + 2x = -17 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = -17 + -19
2x = -17 + -19

Combine like terms: -17 + -19 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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