12(X+1)=8(2X-6)

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Solution for 12(X+1)=8(2X-6) equation: 


Simplifying
12(X + 1) = 8(2X + -6)

Reorder the terms:
12(1 + X) = 8(2X + -6)
(1 * 12 + X * 12) = 8(2X + -6)
(12 + 12X) = 8(2X + -6)

Reorder the terms:
12 + 12X = 8(-6 + 2X)
12 + 12X = (-6 * 8 + 2X * 8)
12 + 12X = (-48 + 16X)

Solving
12 + 12X = -48 + 16X

Solving for variable 'X'.

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

Add '-16X' to each side of the equation.
12 + 12X + -16X = -48 + 16X + -16X

Combine like terms: 12X + -16X = -4X
12 + -4X = -48 + 16X + -16X

Combine like terms: 16X + -16X = 0
12 + -4X = -48 + 0
12 + -4X = -48

Add '-12' to each side of the equation.
12 + -12 + -4X = -48 + -12

Combine like terms: 12 + -12 = 0
0 + -4X = -48 + -12
-4X = -48 + -12

Combine like terms: -48 + -12 = -60
-4X = -60

Divide each side by '-4'.
X = 15

Simplifying
X = 15

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