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

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


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

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

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

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

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

Combine like terms: 6x + -6x = 0
-6 + -3x = 12 + 0
-6 + -3x = 12

Add '6' to each side of the equation.
-6 + 6 + -3x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = 12 + 6
-3x = 12 + 6

Combine like terms: 12 + 6 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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