(x+19)=(3x-21)

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Solution for (x+19)=(3x-21) equation:


Simplifying
(x + 19) = (3x + -21)

Reorder the terms:
(19 + x) = (3x + -21)

Remove parenthesis around (19 + x)
19 + x = (3x + -21)

Reorder the terms:
19 + x = (-21 + 3x)

Remove parenthesis around (-21 + 3x)
19 + x = -21 + 3x

Solving
19 + x = -21 + 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 + x + -3x = -21 + 3x + -3x

Combine like terms: x + -3x = -2x
19 + -2x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + -2x = -21 + 0
19 + -2x = -21

Add '-19' to each side of the equation.
19 + -19 + -2x = -21 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = -21 + -19
-2x = -21 + -19

Combine like terms: -21 + -19 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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