3(x+4)=6(X-8)+12

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Solution for 3(x+4)=6(X-8)+12 equation:


Simplifying
3(x + 4) = 6(X + -8) + 12

Reorder the terms:
3(4 + x) = 6(X + -8) + 12
(4 * 3 + x * 3) = 6(X + -8) + 12
(12 + 3x) = 6(X + -8) + 12

Reorder the terms:
12 + 3x = 6(-8 + X) + 12
12 + 3x = (-8 * 6 + X * 6) + 12
12 + 3x = (-48 + 6X) + 12

Reorder the terms:
12 + 3x = -48 + 12 + 6X

Combine like terms: -48 + 12 = -36
12 + 3x = -36 + 6X

Solving
12 + 3x = -36 + 6X

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x = -36 + -12 + 6X

Combine like terms: 12 + -12 = 0
0 + 3x = -36 + -12 + 6X
3x = -36 + -12 + 6X

Combine like terms: -36 + -12 = -48
3x = -48 + 6X

Divide each side by '3'.
x = -16 + 2X

Simplifying
x = -16 + 2X

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