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

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


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

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

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

Solving
36 + 12x = 12 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 12x + -3x = 9x
36 + 9x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 9x = 12 + 0
36 + 9x = 12

Add '-36' to each side of the equation.
36 + -36 + 9x = 12 + -36

Combine like terms: 36 + -36 = 0
0 + 9x = 12 + -36
9x = 12 + -36

Combine like terms: 12 + -36 = -24
9x = -24

Divide each side by '9'.
x = -2.666666667

Simplifying
x = -2.666666667

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