12(x+3)=4(x+5)

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Solution for 12(x+3)=4(x+5) equation: 


Simplifying
12(x + 3) = 4(x + 5)

Reorder the terms:
12(3 + x) = 4(x + 5)
(3 * 12 + x * 12) = 4(x + 5)
(36 + 12x) = 4(x + 5)

Reorder the terms:
36 + 12x = 4(5 + x)
36 + 12x = (5 * 4 + x * 4)
36 + 12x = (20 + 4x)

Solving
36 + 12x = 20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 12x + -4x = 20 + 4x + -4x

Combine like terms: 12x + -4x = 8x
36 + 8x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 8x = 20 + 0
36 + 8x = 20

Add '-36' to each side of the equation.
36 + -36 + 8x = 20 + -36

Combine like terms: 36 + -36 = 0
0 + 8x = 20 + -36
8x = 20 + -36

Combine like terms: 20 + -36 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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