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

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


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

Reorder the terms:
3(5 + x) = 12(3x + 12)
(5 * 3 + x * 3) = 12(3x + 12)
(15 + 3x) = 12(3x + 12)

Reorder the terms:
15 + 3x = 12(12 + 3x)
15 + 3x = (12 * 12 + 3x * 12)
15 + 3x = (144 + 36x)

Solving
15 + 3x = 144 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
15 + 3x + -36x = 144 + 36x + -36x

Combine like terms: 3x + -36x = -33x
15 + -33x = 144 + 36x + -36x

Combine like terms: 36x + -36x = 0
15 + -33x = 144 + 0
15 + -33x = 144

Add '-15' to each side of the equation.
15 + -15 + -33x = 144 + -15

Combine like terms: 15 + -15 = 0
0 + -33x = 144 + -15
-33x = 144 + -15

Combine like terms: 144 + -15 = 129
-33x = 129

Divide each side by '-33'.
x = -3.909090909

Simplifying
x = -3.909090909

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