6(x-6)=45-3x

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


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

Reorder the terms:
6(-6 + x) = 45 + -3x
(-6 * 6 + x * 6) = 45 + -3x
(-36 + 6x) = 45 + -3x

Solving
-36 + 6x = 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.
-36 + 6x + 3x = 45 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-36 + 9x = 45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-36 + 9x = 45 + 0
-36 + 9x = 45

Add '36' to each side of the equation.
-36 + 36 + 9x = 45 + 36

Combine like terms: -36 + 36 = 0
0 + 9x = 45 + 36
9x = 45 + 36

Combine like terms: 45 + 36 = 81
9x = 81

Divide each side by '9'.
x = 9

Simplifying
x = 9

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