(6x+24)=(17x-9)

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Solution for (6x+24)=(17x-9) equation:


Simplifying
(6x + 24) = (17x + -9)

Reorder the terms:
(24 + 6x) = (17x + -9)

Remove parenthesis around (24 + 6x)
24 + 6x = (17x + -9)

Reorder the terms:
24 + 6x = (-9 + 17x)

Remove parenthesis around (-9 + 17x)
24 + 6x = -9 + 17x

Solving
24 + 6x = -9 + 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.
24 + 6x + -17x = -9 + 17x + -17x

Combine like terms: 6x + -17x = -11x
24 + -11x = -9 + 17x + -17x

Combine like terms: 17x + -17x = 0
24 + -11x = -9 + 0
24 + -11x = -9

Add '-24' to each side of the equation.
24 + -24 + -11x = -9 + -24

Combine like terms: 24 + -24 = 0
0 + -11x = -9 + -24
-11x = -9 + -24

Combine like terms: -9 + -24 = -33
-11x = -33

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

Simplifying
x = 3

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