9x-52=6x-13

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Solution for 9x-52=6x-13 equation:


Simplifying
9x + -52 = 6x + -13

Reorder the terms:
-52 + 9x = 6x + -13

Reorder the terms:
-52 + 9x = -13 + 6x

Solving
-52 + 9x = -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.
-52 + 9x + -6x = -13 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-52 + 3x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-52 + 3x = -13 + 0
-52 + 3x = -13

Add '52' to each side of the equation.
-52 + 52 + 3x = -13 + 52

Combine like terms: -52 + 52 = 0
0 + 3x = -13 + 52
3x = -13 + 52

Combine like terms: -13 + 52 = 39
3x = 39

Divide each side by '3'.
x = 13

Simplifying
x = 13

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