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

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


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

Reorder the terms:
6(-3 + 2x) = -6 + 6(x + -3)
(-3 * 6 + 2x * 6) = -6 + 6(x + -3)
(-18 + 12x) = -6 + 6(x + -3)

Reorder the terms:
-18 + 12x = -6 + 6(-3 + x)
-18 + 12x = -6 + (-3 * 6 + x * 6)
-18 + 12x = -6 + (-18 + 6x)

Combine like terms: -6 + -18 = -24
-18 + 12x = -24 + 6x

Solving
-18 + 12x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-18 + 12x + -6x = -24 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-18 + 6x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-18 + 6x = -24 + 0
-18 + 6x = -24

Add '18' to each side of the equation.
-18 + 18 + 6x = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -24 + 18
6x = -24 + 18

Combine like terms: -24 + 18 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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