(3x+19)=(5x-9)

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Solution for (3x+19)=(5x-9) equation:


Simplifying
(3x + 19) = (5x + -9)

Reorder the terms:
(19 + 3x) = (5x + -9)

Remove parenthesis around (19 + 3x)
19 + 3x = (5x + -9)

Reorder the terms:
19 + 3x = (-9 + 5x)

Remove parenthesis around (-9 + 5x)
19 + 3x = -9 + 5x

Solving
19 + 3x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
19 + 3x + -5x = -9 + 5x + -5x

Combine like terms: 3x + -5x = -2x
19 + -2x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
19 + -2x = -9 + 0
19 + -2x = -9

Add '-19' to each side of the equation.
19 + -19 + -2x = -9 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = -9 + -19
-2x = -9 + -19

Combine like terms: -9 + -19 = -28
-2x = -28

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

Simplifying
x = 14

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