(5x+24)=(9x-17)

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Solution for (5x+24)=(9x-17) equation:


Simplifying
(5x + 24) = (9x + -17)

Reorder the terms:
(24 + 5x) = (9x + -17)

Remove parenthesis around (24 + 5x)
24 + 5x = (9x + -17)

Reorder the terms:
24 + 5x = (-17 + 9x)

Remove parenthesis around (-17 + 9x)
24 + 5x = -17 + 9x

Solving
24 + 5x = -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.
24 + 5x + -9x = -17 + 9x + -9x

Combine like terms: 5x + -9x = -4x
24 + -4x = -17 + 9x + -9x

Combine like terms: 9x + -9x = 0
24 + -4x = -17 + 0
24 + -4x = -17

Add '-24' to each side of the equation.
24 + -24 + -4x = -17 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = -17 + -24
-4x = -17 + -24

Combine like terms: -17 + -24 = -41
-4x = -41

Divide each side by '-4'.
x = 10.25

Simplifying
x = 10.25

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