2(X-8)=3(X+5)

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Solution for 2(X-8)=3(X+5) equation: 


Simplifying
2(X + -8) = 3(X + 5)

Reorder the terms:
2(-8 + X) = 3(X + 5)
(-8 * 2 + X * 2) = 3(X + 5)
(-16 + 2X) = 3(X + 5)

Reorder the terms:
-16 + 2X = 3(5 + X)
-16 + 2X = (5 * 3 + X * 3)
-16 + 2X = (15 + 3X)

Solving
-16 + 2X = 15 + 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.
-16 + 2X + -3X = 15 + 3X + -3X

Combine like terms: 2X + -3X = -1X
-16 + -1X = 15 + 3X + -3X

Combine like terms: 3X + -3X = 0
-16 + -1X = 15 + 0
-16 + -1X = 15

Add '16' to each side of the equation.
-16 + 16 + -1X = 15 + 16

Combine like terms: -16 + 16 = 0
0 + -1X = 15 + 16
-1X = 15 + 16

Combine like terms: 15 + 16 = 31
-1X = 31

Divide each side by '-1'.
X = -31

Simplifying
X = -31

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