6*(x-3)=2x+3*(4-2x)

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Solution for 6*(x-3)=2x+3*(4-2x) equation: 


Simplifying
6(x + -3) = 2x + 3(4 + -2x)

Reorder the terms:
6(-3 + x) = 2x + 3(4 + -2x)
(-3 * 6 + x * 6) = 2x + 3(4 + -2x)
(-18 + 6x) = 2x + 3(4 + -2x)
-18 + 6x = 2x + (4 * 3 + -2x * 3)
-18 + 6x = 2x + (12 + -6x)

Reorder the terms:
-18 + 6x = 12 + 2x + -6x

Combine like terms: 2x + -6x = -4x
-18 + 6x = 12 + -4x

Solving
-18 + 6x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-18 + 6x + 4x = 12 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-18 + 10x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 10x = 12 + 0
-18 + 10x = 12

Add '18' to each side of the equation.
-18 + 18 + 10x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 10x = 12 + 18
10x = 12 + 18

Combine like terms: 12 + 18 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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