(3x+19)=(4x-2)

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Solution for (3x+19)=(4x-2) equation:


Simplifying
(3x + 19) = (4x + -2)

Reorder the terms:
(19 + 3x) = (4x + -2)

Remove parenthesis around (19 + 3x)
19 + 3x = (4x + -2)

Reorder the terms:
19 + 3x = (-2 + 4x)

Remove parenthesis around (-2 + 4x)
19 + 3x = -2 + 4x

Solving
19 + 3x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
19 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
19 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -1x = -2 + 0
19 + -1x = -2

Add '-19' to each side of the equation.
19 + -19 + -1x = -2 + -19

Combine like terms: 19 + -19 = 0
0 + -1x = -2 + -19
-1x = -2 + -19

Combine like terms: -2 + -19 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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