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

Reorder the terms:
-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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