2x+6=9x+13

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Solution for 2x+6=9x+13 equation:


Simplifying
2x + 6 = 9x + 13

Reorder the terms:
6 + 2x = 9x + 13

Reorder the terms:
6 + 2x = 13 + 9x

Solving
6 + 2x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
6 + 2x + -9x = 13 + 9x + -9x

Combine like terms: 2x + -9x = -7x
6 + -7x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -7x = 13 + 0
6 + -7x = 13

Add '-6' to each side of the equation.
6 + -6 + -7x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 13 + -6
-7x = 13 + -6

Combine like terms: 13 + -6 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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