(7x+5)=(13x-1)

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Solution for (7x+5)=(13x-1) equation:


Simplifying
(7x + 5) = (13x + -1)

Reorder the terms:
(5 + 7x) = (13x + -1)

Remove parenthesis around (5 + 7x)
5 + 7x = (13x + -1)

Reorder the terms:
5 + 7x = (-1 + 13x)

Remove parenthesis around (-1 + 13x)
5 + 7x = -1 + 13x

Solving
5 + 7x = -1 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
5 + 7x + -13x = -1 + 13x + -13x

Combine like terms: 7x + -13x = -6x
5 + -6x = -1 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -6x = -1 + 0
5 + -6x = -1

Add '-5' to each side of the equation.
5 + -5 + -6x = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -1 + -5
-6x = -1 + -5

Combine like terms: -1 + -5 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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