6x+9=17x-13

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Solution for 6x+9=17x-13 equation:


Simplifying
6x + 9 = 17x + -13

Reorder the terms:
9 + 6x = 17x + -13

Reorder the terms:
9 + 6x = -13 + 17x

Solving
9 + 6x = -13 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
9 + 6x + -17x = -13 + 17x + -17x

Combine like terms: 6x + -17x = -11x
9 + -11x = -13 + 17x + -17x

Combine like terms: 17x + -17x = 0
9 + -11x = -13 + 0
9 + -11x = -13

Add '-9' to each side of the equation.
9 + -9 + -11x = -13 + -9

Combine like terms: 9 + -9 = 0
0 + -11x = -13 + -9
-11x = -13 + -9

Combine like terms: -13 + -9 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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