27-3(x+4)=9(x-2)-15

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Solution for 27-3(x+4)=9(x-2)-15 equation: 


Simplifying
27 + -3(x + 4) = 9(x + -2) + -15

Reorder the terms:
27 + -3(4 + x) = 9(x + -2) + -15
27 + (4 * -3 + x * -3) = 9(x + -2) + -15
27 + (-12 + -3x) = 9(x + -2) + -15

Combine like terms: 27 + -12 = 15
15 + -3x = 9(x + -2) + -15

Reorder the terms:
15 + -3x = 9(-2 + x) + -15
15 + -3x = (-2 * 9 + x * 9) + -15
15 + -3x = (-18 + 9x) + -15

Reorder the terms:
15 + -3x = -18 + -15 + 9x

Combine like terms: -18 + -15 = -33
15 + -3x = -33 + 9x

Solving
15 + -3x = -33 + 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.
15 + -3x + -9x = -33 + 9x + -9x

Combine like terms: -3x + -9x = -12x
15 + -12x = -33 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -12x = -33 + 0
15 + -12x = -33

Add '-15' to each side of the equation.
15 + -15 + -12x = -33 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = -33 + -15
-12x = -33 + -15

Combine like terms: -33 + -15 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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