12(x+6)=16(x+2)

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Solution for 12(x+6)=16(x+2) equation:


Simplifying
12(x + 6) = 16(x + 2)

Reorder the terms:
12(6 + x) = 16(x + 2)
(6 * 12 + x * 12) = 16(x + 2)
(72 + 12x) = 16(x + 2)

Reorder the terms:
72 + 12x = 16(2 + x)
72 + 12x = (2 * 16 + x * 16)
72 + 12x = (32 + 16x)

Solving
72 + 12x = 32 + 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.
72 + 12x + -16x = 32 + 16x + -16x

Combine like terms: 12x + -16x = -4x
72 + -4x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
72 + -4x = 32 + 0
72 + -4x = 32

Add '-72' to each side of the equation.
72 + -72 + -4x = 32 + -72

Combine like terms: 72 + -72 = 0
0 + -4x = 32 + -72
-4x = 32 + -72

Combine like terms: 32 + -72 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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