2(X-36)=3(81-X)

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Solution for 2(X-36)=3(81-X) equation: 


Simplifying
2(X + -36) = 3(81 + -1X)

Reorder the terms:
2(-36 + X) = 3(81 + -1X)
(-36 * 2 + X * 2) = 3(81 + -1X)
(-72 + 2X) = 3(81 + -1X)
-72 + 2X = (81 * 3 + -1X * 3)
-72 + 2X = (243 + -3X)

Solving
-72 + 2X = 243 + -3X

Solving for variable 'X'.

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

Add '3X' to each side of the equation.
-72 + 2X + 3X = 243 + -3X + 3X

Combine like terms: 2X + 3X = 5X
-72 + 5X = 243 + -3X + 3X

Combine like terms: -3X + 3X = 0
-72 + 5X = 243 + 0
-72 + 5X = 243

Add '72' to each side of the equation.
-72 + 72 + 5X = 243 + 72

Combine like terms: -72 + 72 = 0
0 + 5X = 243 + 72
5X = 243 + 72

Combine like terms: 243 + 72 = 315
5X = 315

Divide each side by '5'.
X = 63

Simplifying
X = 63

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