(13x-2)=(7x+19)

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Solution for (13x-2)=(7x+19) equation:


Simplifying
(13x + -2) = (7x + 19)

Reorder the terms:
(-2 + 13x) = (7x + 19)

Remove parenthesis around (-2 + 13x)
-2 + 13x = (7x + 19)

Reorder the terms:
-2 + 13x = (19 + 7x)

Remove parenthesis around (19 + 7x)
-2 + 13x = 19 + 7x

Solving
-2 + 13x = 19 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + 13x + -7x = 19 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-2 + 6x = 19 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 6x = 19 + 0
-2 + 6x = 19

Add '2' to each side of the equation.
-2 + 2 + 6x = 19 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 19 + 2
6x = 19 + 2

Combine like terms: 19 + 2 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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