9(2X+3)=5(3X-5)

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Solution for 9(2X+3)=5(3X-5) equation:


Simplifying
9(2X + 3) = 5(3X + -5)

Reorder the terms:
9(3 + 2X) = 5(3X + -5)
(3 * 9 + 2X * 9) = 5(3X + -5)
(27 + 18X) = 5(3X + -5)

Reorder the terms:
27 + 18X = 5(-5 + 3X)
27 + 18X = (-5 * 5 + 3X * 5)
27 + 18X = (-25 + 15X)

Solving
27 + 18X = -25 + 15X

Solving for variable 'X'.

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

Add '-15X' to each side of the equation.
27 + 18X + -15X = -25 + 15X + -15X

Combine like terms: 18X + -15X = 3X
27 + 3X = -25 + 15X + -15X

Combine like terms: 15X + -15X = 0
27 + 3X = -25 + 0
27 + 3X = -25

Add '-27' to each side of the equation.
27 + -27 + 3X = -25 + -27

Combine like terms: 27 + -27 = 0
0 + 3X = -25 + -27
3X = -25 + -27

Combine like terms: -25 + -27 = -52
3X = -52

Divide each side by '3'.
X = -17.33333333

Simplifying
X = -17.33333333

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