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

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


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

Reorder the terms:
3(5 + X) = 2(X + -8)
(5 * 3 + X * 3) = 2(X + -8)
(15 + 3X) = 2(X + -8)

Reorder the terms:
15 + 3X = 2(-8 + X)
15 + 3X = (-8 * 2 + X * 2)
15 + 3X = (-16 + 2X)

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

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

Combine like terms: 2X + -2X = 0
15 + 1X = -16 + 0
15 + 1X = -16

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

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

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

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

Simplifying
X = -31

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