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

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


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

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

Reorder the terms:
-12 + 6x = 3(-8 + 3x)
-12 + 6x = (-8 * 3 + 3x * 3)
-12 + 6x = (-24 + 9x)

Solving
-12 + 6x = -24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-12 + 6x + -9x = -24 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-12 + -3x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 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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