3(x-3)=x-3(x+2)

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Solution for 3(x-3)=x-3(x+2) equation:


Simplifying
3(x + -3) = x + -3(x + 2)

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

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

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

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

Solving
-9 + 3x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 3x + 2x = -6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = -6 + 0
-9 + 5x = -6

Add '9' to each side of the equation.
-9 + 9 + 5x = -6 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = -6 + 9
5x = -6 + 9

Combine like terms: -6 + 9 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Simplifying
x = 0.6

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