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

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


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

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

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

Solving
-27 + 3X = 15 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-27 + 3X + -5X = 15 + 5X + -5X

Combine like terms: 3X + -5X = -2X
-27 + -2X = 15 + 5X + -5X

Combine like terms: 5X + -5X = 0
-27 + -2X = 15 + 0
-27 + -2X = 15

Add '27' to each side of the equation.
-27 + 27 + -2X = 15 + 27

Combine like terms: -27 + 27 = 0
0 + -2X = 15 + 27
-2X = 15 + 27

Combine like terms: 15 + 27 = 42
-2X = 42

Divide each side by '-2'.
X = -21

Simplifying
X = -21

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