(13x-4)=(9x+16)

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Solution for (13x-4)=(9x+16) equation:


Simplifying
(13x + -4) = (9x + 16)

Reorder the terms:
(-4 + 13x) = (9x + 16)

Remove parenthesis around (-4 + 13x)
-4 + 13x = (9x + 16)

Reorder the terms:
-4 + 13x = (16 + 9x)

Remove parenthesis around (16 + 9x)
-4 + 13x = 16 + 9x

Solving
-4 + 13x = 16 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 13x + -9x = 16 + 9x + -9x

Combine like terms: 13x + -9x = 4x
-4 + 4x = 16 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 4x = 16 + 0
-4 + 4x = 16

Add '4' to each side of the equation.
-4 + 4 + 4x = 16 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 16 + 4
4x = 16 + 4

Combine like terms: 16 + 4 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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