9-3[x-2]=21-x

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Solution for 9-3[x-2]=21-x equation:


Simplifying
9 + -3[x + -2] = 21 + -1x

Reorder the terms:
9 + -3[-2 + x] = 21 + -1x
9 + [-2 * -3 + x * -3] = 21 + -1x
9 + [6 + -3x] = 21 + -1x

Combine like terms: 9 + 6 = 15
15 + -3x = 21 + -1x

Solving
15 + -3x = 21 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + -3x + x = 21 + -1x + x

Combine like terms: -3x + x = -2x
15 + -2x = 21 + -1x + x

Combine like terms: -1x + x = 0
15 + -2x = 21 + 0
15 + -2x = 21

Add '-15' to each side of the equation.
15 + -15 + -2x = 21 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 21 + -15
-2x = 21 + -15

Combine like terms: 21 + -15 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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