13x+17=24x-16

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Solution for 13x+17=24x-16 equation:


Simplifying
13x + 17 = 24x + -16

Reorder the terms:
17 + 13x = 24x + -16

Reorder the terms:
17 + 13x = -16 + 24x

Solving
17 + 13x = -16 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
17 + 13x + -24x = -16 + 24x + -24x

Combine like terms: 13x + -24x = -11x
17 + -11x = -16 + 24x + -24x

Combine like terms: 24x + -24x = 0
17 + -11x = -16 + 0
17 + -11x = -16

Add '-17' to each side of the equation.
17 + -17 + -11x = -16 + -17

Combine like terms: 17 + -17 = 0
0 + -11x = -16 + -17
-11x = -16 + -17

Combine like terms: -16 + -17 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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