2(3x-6)=3(x-8)

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Solution for 2(3x-6)=3(x-8) equation:


Simplifying
2(3x + -6) = 3(x + -8)

Reorder the terms:
2(-6 + 3x) = 3(x + -8)
(-6 * 2 + 3x * 2) = 3(x + -8)
(-12 + 6x) = 3(x + -8)

Reorder the terms:
-12 + 6x = 3(-8 + x)
-12 + 6x = (-8 * 3 + x * 3)
-12 + 6x = (-24 + 3x)

Solving
-12 + 6x = -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.
-12 + 6x + -3x = -24 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-12 + 3x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 3x = -24 + 0
-12 + 3x = -24

Add '12' to each side of the equation.
-12 + 12 + 3x = -24 + 12

Combine like terms: -12 + 12 = 0
0 + 3x = -24 + 12
3x = -24 + 12

Combine like terms: -24 + 12 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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