12(x+3)=4(2x+8)

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Solution for 12(x+3)=4(2x+8) equation: 


Simplifying
12(x + 3) = 4(2x + 8)

Reorder the terms:
12(3 + x) = 4(2x + 8)
(3 * 12 + x * 12) = 4(2x + 8)
(36 + 12x) = 4(2x + 8)

Reorder the terms:
36 + 12x = 4(8 + 2x)
36 + 12x = (8 * 4 + 2x * 4)
36 + 12x = (32 + 8x)

Solving
36 + 12x = 32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
36 + 12x + -8x = 32 + 8x + -8x

Combine like terms: 12x + -8x = 4x
36 + 4x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
36 + 4x = 32 + 0
36 + 4x = 32

Add '-36' to each side of the equation.
36 + -36 + 4x = 32 + -36

Combine like terms: 36 + -36 = 0
0 + 4x = 32 + -36
4x = 32 + -36

Combine like terms: 32 + -36 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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