12=-3(x-2)+21

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Solution for 12=-3(x-2)+21 equation:


Simplifying
12 = -3(x + -2) + 21

Reorder the terms:
12 = -3(-2 + x) + 21
12 = (-2 * -3 + x * -3) + 21
12 = (6 + -3x) + 21

Reorder the terms:
12 = 6 + 21 + -3x

Combine like terms: 6 + 21 = 27
12 = 27 + -3x

Solving
12 = 27 + -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.
12 + 3x = 27 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 3x = 27 + 0
12 + 3x = 27

Add '-12' to each side of the equation.
12 + -12 + 3x = 27 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 27 + -12
3x = 27 + -12

Combine like terms: 27 + -12 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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