2(X-4)=3(X-8)

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Solution for 2(X-4)=3(X-8) equation:


Simplifying
2(X + -4) = 3(X + -8)

Reorder the terms:
2(-4 + X) = 3(X + -8)
(-4 * 2 + X * 2) = 3(X + -8)
(-8 + 2X) = 3(X + -8)

Reorder the terms:
-8 + 2X = 3(-8 + X)
-8 + 2X = (-8 * 3 + X * 3)
-8 + 2X = (-24 + 3X)

Solving
-8 + 2X = -24 + 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.
-8 + 2X + -3X = -24 + 3X + -3X

Combine like terms: 2X + -3X = -1X
-8 + -1X = -24 + 3X + -3X

Combine like terms: 3X + -3X = 0
-8 + -1X = -24 + 0
-8 + -1X = -24

Add '8' to each side of the equation.
-8 + 8 + -1X = -24 + 8

Combine like terms: -8 + 8 = 0
0 + -1X = -24 + 8
-1X = -24 + 8

Combine like terms: -24 + 8 = -16
-1X = -16

Divide each side by '-1'.
X = 16

Simplifying
X = 16

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