3(x-9)=-9(-x+2)

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Solution for 3(x-9)=-9(-x+2) equation:


Simplifying
3(x + -9) = -9(-1x + 2)

Reorder the terms:
3(-9 + x) = -9(-1x + 2)
(-9 * 3 + x * 3) = -9(-1x + 2)
(-27 + 3x) = -9(-1x + 2)

Reorder the terms:
-27 + 3x = -9(2 + -1x)
-27 + 3x = (2 * -9 + -1x * -9)
-27 + 3x = (-18 + 9x)

Solving
-27 + 3x = -18 + 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.
-27 + 3x + -9x = -18 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-27 + -6x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-27 + -6x = -18 + 0
-27 + -6x = -18

Add '27' to each side of the equation.
-27 + 27 + -6x = -18 + 27

Combine like terms: -27 + 27 = 0
0 + -6x = -18 + 27
-6x = -18 + 27

Combine like terms: -18 + 27 = 9
-6x = 9

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

Simplifying
x = -1.5

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