9x-6=x+13

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


Simplifying
9x + -6 = x + 13

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

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

Solving
-6 + 9x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 9x + -1x = 13 + x + -1x

Combine like terms: 9x + -1x = 8x
-6 + 8x = 13 + x + -1x

Combine like terms: x + -1x = 0
-6 + 8x = 13 + 0
-6 + 8x = 13

Add '6' to each side of the equation.
-6 + 6 + 8x = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 13 + 6
8x = 13 + 6

Combine like terms: 13 + 6 = 19
8x = 19

Divide each side by '8'.
x = 2.375

Simplifying
x = 2.375

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