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

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


Simplifying
2(x + -4) = 6 + -1(3x + -6)

Reorder the terms:
2(-4 + x) = 6 + -1(3x + -6)
(-4 * 2 + x * 2) = 6 + -1(3x + -6)
(-8 + 2x) = 6 + -1(3x + -6)

Reorder the terms:
-8 + 2x = 6 + -1(-6 + 3x)
-8 + 2x = 6 + (-6 * -1 + 3x * -1)
-8 + 2x = 6 + (6 + -3x)

Combine like terms: 6 + 6 = 12
-8 + 2x = 12 + -3x

Solving
-8 + 2x = 12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 2x + 3x = 12 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-8 + 5x = 12 + -3x + 3x

Combine like terms: -3x + 3x = 0
-8 + 5x = 12 + 0
-8 + 5x = 12

Add '8' to each side of the equation.
-8 + 8 + 5x = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 12 + 8
5x = 12 + 8

Combine like terms: 12 + 8 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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