(9x-2)=(4x+13)

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Solution for (9x-2)=(4x+13) equation:


Simplifying
(9x + -2) = (4x + 13)

Reorder the terms:
(-2 + 9x) = (4x + 13)

Remove parenthesis around (-2 + 9x)
-2 + 9x = (4x + 13)

Reorder the terms:
-2 + 9x = (13 + 4x)

Remove parenthesis around (13 + 4x)
-2 + 9x = 13 + 4x

Solving
-2 + 9x = 13 + 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.
-2 + 9x + -4x = 13 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-2 + 5x = 13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 5x = 13 + 0
-2 + 5x = 13

Add '2' to each side of the equation.
-2 + 2 + 5x = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = 13 + 2
5x = 13 + 2

Combine like terms: 13 + 2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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