(6x-5)=(5x+8)

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Solution for (6x-5)=(5x+8) equation:


Simplifying
(6x + -5) = (5x + 8)

Reorder the terms:
(-5 + 6x) = (5x + 8)

Remove parenthesis around (-5 + 6x)
-5 + 6x = (5x + 8)

Reorder the terms:
-5 + 6x = (8 + 5x)

Remove parenthesis around (8 + 5x)
-5 + 6x = 8 + 5x

Solving
-5 + 6x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 6x + -5x = 8 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-5 + 1x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + 1x = 8 + 0
-5 + 1x = 8

Add '5' to each side of the equation.
-5 + 5 + 1x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = 8 + 5
1x = 8 + 5

Combine like terms: 8 + 5 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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