7x+17=13x-13

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


Simplifying
7x + 17 = 13x + -13

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

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

Solving
17 + 7x = -13 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
17 + 7x + -13x = -13 + 13x + -13x

Combine like terms: 7x + -13x = -6x
17 + -6x = -13 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -6x = -13 + 0
17 + -6x = -13

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

Combine like terms: 17 + -17 = 0
0 + -6x = -13 + -17
-6x = -13 + -17

Combine like terms: -13 + -17 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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