(5x-6)=(6x-13)

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Solution for (5x-6)=(6x-13) equation:


Simplifying
(5x + -6) = (6x + -13)

Reorder the terms:
(-6 + 5x) = (6x + -13)

Remove parenthesis around (-6 + 5x)
-6 + 5x = (6x + -13)

Reorder the terms:
-6 + 5x = (-13 + 6x)

Remove parenthesis around (-13 + 6x)
-6 + 5x = -13 + 6x

Solving
-6 + 5x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = -13 + 6x + -6x

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

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

Add '6' to each side of the equation.
-6 + 6 + -1x = -13 + 6

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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