3(x-6)=45-6x

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Solution for 3(x-6)=45-6x equation:


Simplifying
3(x + -6) = 45 + -6x

Reorder the terms:
3(-6 + x) = 45 + -6x
(-6 * 3 + x * 3) = 45 + -6x
(-18 + 3x) = 45 + -6x

Solving
-18 + 3x = 45 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-18 + 3x + 6x = 45 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-18 + 9x = 45 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 9x = 45 + 0
-18 + 9x = 45

Add '18' to each side of the equation.
-18 + 18 + 9x = 45 + 18

Combine like terms: -18 + 18 = 0
0 + 9x = 45 + 18
9x = 45 + 18

Combine like terms: 45 + 18 = 63
9x = 63

Divide each side by '9'.
x = 7

Simplifying
x = 7

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