6(x-3)=3(x+2)+27

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Solution for 6(x-3)=3(x+2)+27 equation: 


Simplifying
6(x + -3) = 3(x + 2) + 27

Reorder the terms:
6(-3 + x) = 3(x + 2) + 27
(-3 * 6 + x * 6) = 3(x + 2) + 27
(-18 + 6x) = 3(x + 2) + 27

Reorder the terms:
-18 + 6x = 3(2 + x) + 27
-18 + 6x = (2 * 3 + x * 3) + 27
-18 + 6x = (6 + 3x) + 27

Reorder the terms:
-18 + 6x = 6 + 27 + 3x

Combine like terms: 6 + 27 = 33
-18 + 6x = 33 + 3x

Solving
-18 + 6x = 33 + 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.
-18 + 6x + -3x = 33 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-18 + 3x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 3x = 33 + 0
-18 + 3x = 33

Add '18' to each side of the equation.
-18 + 18 + 3x = 33 + 18

Combine like terms: -18 + 18 = 0
0 + 3x = 33 + 18
3x = 33 + 18

Combine like terms: 33 + 18 = 51
3x = 51

Divide each side by '3'.
x = 17

Simplifying
x = 17

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