15+3(4-x)=3(3x+12)

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Solution for 15+3(4-x)=3(3x+12) equation: 


Simplifying
15 + 3(4 + -1x) = 3(3x + 12)
15 + (4 * 3 + -1x * 3) = 3(3x + 12)
15 + (12 + -3x) = 3(3x + 12)

Combine like terms: 15 + 12 = 27
27 + -3x = 3(3x + 12)

Reorder the terms:
27 + -3x = 3(12 + 3x)
27 + -3x = (12 * 3 + 3x * 3)
27 + -3x = (36 + 9x)

Solving
27 + -3x = 36 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
27 + -3x + -9x = 36 + 9x + -9x

Combine like terms: -3x + -9x = -12x
27 + -12x = 36 + 9x + -9x

Combine like terms: 9x + -9x = 0
27 + -12x = 36 + 0
27 + -12x = 36

Add '-27' to each side of the equation.
27 + -27 + -12x = 36 + -27

Combine like terms: 27 + -27 = 0
0 + -12x = 36 + -27
-12x = 36 + -27

Combine like terms: 36 + -27 = 9
-12x = 9

Divide each side by '-12'.
x = -0.75

Simplifying
x = -0.75

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