3(x+3)=3(y-6)

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


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

Reorder the terms:
3(3 + x) = 3(y + -6)
(3 * 3 + x * 3) = 3(y + -6)
(9 + 3x) = 3(y + -6)

Reorder the terms:
9 + 3x = 3(-6 + y)
9 + 3x = (-6 * 3 + y * 3)
9 + 3x = (-18 + 3y)

Solving
9 + 3x = -18 + 3y

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = -18 + -9 + 3y

Combine like terms: 9 + -9 = 0
0 + 3x = -18 + -9 + 3y
3x = -18 + -9 + 3y

Combine like terms: -18 + -9 = -27
3x = -27 + 3y

Divide each side by '3'.
x = -9 + y

Simplifying
x = -9 + y

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