3(3x-8)-3=3(x-3)+30

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Solution for 3(3x-8)-3=3(x-3)+30 equation: 


Simplifying
3(3x + -8) + -3 = 3(x + -3) + 30

Reorder the terms:
3(-8 + 3x) + -3 = 3(x + -3) + 30
(-8 * 3 + 3x * 3) + -3 = 3(x + -3) + 30
(-24 + 9x) + -3 = 3(x + -3) + 30

Reorder the terms:
-24 + -3 + 9x = 3(x + -3) + 30

Combine like terms: -24 + -3 = -27
-27 + 9x = 3(x + -3) + 30

Reorder the terms:
-27 + 9x = 3(-3 + x) + 30
-27 + 9x = (-3 * 3 + x * 3) + 30
-27 + 9x = (-9 + 3x) + 30

Reorder the terms:
-27 + 9x = -9 + 30 + 3x

Combine like terms: -9 + 30 = 21
-27 + 9x = 21 + 3x

Solving
-27 + 9x = 21 + 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.
-27 + 9x + -3x = 21 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-27 + 6x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + 6x = 21 + 0
-27 + 6x = 21

Add '27' to each side of the equation.
-27 + 27 + 6x = 21 + 27

Combine like terms: -27 + 27 = 0
0 + 6x = 21 + 27
6x = 21 + 27

Combine like terms: 21 + 27 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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