5x-6=36-x

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Solution for 5x-6=36-x equation:


Simplifying
5x + -6 = 36 + -1x

Reorder the terms:
-6 + 5x = 36 + -1x

Solving
-6 + 5x = 36 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = 36 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 36 + -1x + x

Combine like terms: -1x + x = 0
-6 + 6x = 36 + 0
-6 + 6x = 36

Add '6' to each side of the equation.
-6 + 6 + 6x = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = 36 + 6
6x = 36 + 6

Combine like terms: 36 + 6 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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