6-3(x-3)=3(2-3x)

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Solution for 6-3(x-3)=3(2-3x) equation: 


Simplifying
6 + -3(x + -3) = 3(2 + -3x)

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

Combine like terms: 6 + 9 = 15
15 + -3x = 3(2 + -3x)
15 + -3x = (2 * 3 + -3x * 3)
15 + -3x = (6 + -9x)

Solving
15 + -3x = 6 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
15 + -3x + 9x = 6 + -9x + 9x

Combine like terms: -3x + 9x = 6x
15 + 6x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + 6x = 6 + 0
15 + 6x = 6

Add '-15' to each side of the equation.
15 + -15 + 6x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 6x = 6 + -15
6x = 6 + -15

Combine like terms: 6 + -15 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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