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

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


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

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

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

Combine like terms: x + -3x = -2x
-9 + -2x = 3(x + -6)

Reorder the terms:
-9 + -2x = 3(-6 + x)
-9 + -2x = (-6 * 3 + x * 3)
-9 + -2x = (-18 + 3x)

Solving
-9 + -2x = -18 + 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 + -2x + -3x = -18 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-9 + -5x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -5x = -18 + 0
-9 + -5x = -18

Add '9' to each side of the equation.
-9 + 9 + -5x = -18 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = -18 + 9
-5x = -18 + 9

Combine like terms: -18 + 9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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