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

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


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

Reorder the terms:
3(-5 + X) = 2(X + 9)
(-5 * 3 + X * 3) = 2(X + 9)
(-15 + 3X) = 2(X + 9)

Reorder the terms:
-15 + 3X = 2(9 + X)
-15 + 3X = (9 * 2 + X * 2)
-15 + 3X = (18 + 2X)

Solving
-15 + 3X = 18 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-15 + 3X + -2X = 18 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-15 + 1X = 18 + 2X + -2X

Combine like terms: 2X + -2X = 0
-15 + 1X = 18 + 0
-15 + 1X = 18

Add '15' to each side of the equation.
-15 + 15 + 1X = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 1X = 18 + 15
1X = 18 + 15

Combine like terms: 18 + 15 = 33
1X = 33

Divide each side by '1'.
X = 33

Simplifying
X = 33

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