(13x+9)=(15x-1)

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Solution for (13x+9)=(15x-1) equation:


Simplifying
(13x + 9) = (15x + -1)

Reorder the terms:
(9 + 13x) = (15x + -1)

Remove parenthesis around (9 + 13x)
9 + 13x = (15x + -1)

Reorder the terms:
9 + 13x = (-1 + 15x)

Remove parenthesis around (-1 + 15x)
9 + 13x = -1 + 15x

Solving
9 + 13x = -1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
9 + 13x + -15x = -1 + 15x + -15x

Combine like terms: 13x + -15x = -2x
9 + -2x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
9 + -2x = -1 + 0
9 + -2x = -1

Add '-9' to each side of the equation.
9 + -9 + -2x = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -1 + -9
-2x = -1 + -9

Combine like terms: -1 + -9 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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