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

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


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

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

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

Solving
-12 + 2x = 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.
-12 + 2x + 6x = 12 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-12 + 8x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-12 + 8x = 12 + 0
-12 + 8x = 12

Add '12' to each side of the equation.
-12 + 12 + 8x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 12 + 12
8x = 12 + 12

Combine like terms: 12 + 12 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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