3X-6=5(X-8)

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Solution for 3X-6=5(X-8) equation:


Simplifying
3X + -6 = 5(X + -8)

Reorder the terms:
-6 + 3X = 5(X + -8)

Reorder the terms:
-6 + 3X = 5(-8 + X)
-6 + 3X = (-8 * 5 + X * 5)
-6 + 3X = (-40 + 5X)

Solving
-6 + 3X = -40 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-6 + 3X + -5X = -40 + 5X + -5X

Combine like terms: 3X + -5X = -2X
-6 + -2X = -40 + 5X + -5X

Combine like terms: 5X + -5X = 0
-6 + -2X = -40 + 0
-6 + -2X = -40

Add '6' to each side of the equation.
-6 + 6 + -2X = -40 + 6

Combine like terms: -6 + 6 = 0
0 + -2X = -40 + 6
-2X = -40 + 6

Combine like terms: -40 + 6 = -34
-2X = -34

Divide each side by '-2'.
X = 17

Simplifying
X = 17

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