7x-13=9x-17

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Solution for 7x-13=9x-17 equation:


Simplifying
7x + -13 = 9x + -17

Reorder the terms:
-13 + 7x = 9x + -17

Reorder the terms:
-13 + 7x = -17 + 9x

Solving
-13 + 7x = -17 + 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.
-13 + 7x + -9x = -17 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-13 + -2x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
-13 + -2x = -17 + 0
-13 + -2x = -17

Add '13' to each side of the equation.
-13 + 13 + -2x = -17 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = -17 + 13
-2x = -17 + 13

Combine like terms: -17 + 13 = -4
-2x = -4

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

Simplifying
x = 2

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