3(x-3)=45-3x

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Solution for 3(x-3)=45-3x equation: 


Simplifying
3(x + -3) = 45 + -3x

Reorder the terms:
3(-3 + x) = 45 + -3x
(-3 * 3 + x * 3) = 45 + -3x
(-9 + 3x) = 45 + -3x

Solving
-9 + 3x = 45 + -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.
-9 + 3x + 3x = 45 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-9 + 6x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-9 + 6x = 45 + 0
-9 + 6x = 45

Add '9' to each side of the equation.
-9 + 9 + 6x = 45 + 9

Combine like terms: -9 + 9 = 0
0 + 6x = 45 + 9
6x = 45 + 9

Combine like terms: 45 + 9 = 54
6x = 54

Divide each side by '6'.
x = 9

Simplifying
x = 9

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