13x+15=17x-13

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Solution for 13x+15=17x-13 equation:


Simplifying
13x + 15 = 17x + -13

Reorder the terms:
15 + 13x = 17x + -13

Reorder the terms:
15 + 13x = -13 + 17x

Solving
15 + 13x = -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.
15 + 13x + -17x = -13 + 17x + -17x

Combine like terms: 13x + -17x = -4x
15 + -4x = -13 + 17x + -17x

Combine like terms: 17x + -17x = 0
15 + -4x = -13 + 0
15 + -4x = -13

Add '-15' to each side of the equation.
15 + -15 + -4x = -13 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -13 + -15
-4x = -13 + -15

Combine like terms: -13 + -15 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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