3(x+12)=4(3x+6)

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Solution for 3(x+12)=4(3x+6) equation: 


Simplifying
3(x + 12) = 4(3x + 6)

Reorder the terms:
3(12 + x) = 4(3x + 6)
(12 * 3 + x * 3) = 4(3x + 6)
(36 + 3x) = 4(3x + 6)

Reorder the terms:
36 + 3x = 4(6 + 3x)
36 + 3x = (6 * 4 + 3x * 4)
36 + 3x = (24 + 12x)

Solving
36 + 3x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
36 + 3x + -12x = 24 + 12x + -12x

Combine like terms: 3x + -12x = -9x
36 + -9x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
36 + -9x = 24 + 0
36 + -9x = 24

Add '-36' to each side of the equation.
36 + -36 + -9x = 24 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = 24 + -36
-9x = 24 + -36

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

Divide each side by '-9'.
x = 1.333333333

Simplifying
x = 1.333333333

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