x+21=3(x-9)-6

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Solution for x+21=3(x-9)-6 equation:


Simplifying
x + 21 = 3(x + -9) + -6

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

Reorder the terms:
21 + x = 3(-9 + x) + -6
21 + x = (-9 * 3 + x * 3) + -6
21 + x = (-27 + 3x) + -6

Reorder the terms:
21 + x = -27 + -6 + 3x

Combine like terms: -27 + -6 = -33
21 + x = -33 + 3x

Solving
21 + x = -33 + 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.
21 + x + -3x = -33 + 3x + -3x

Combine like terms: x + -3x = -2x
21 + -2x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -2x = -33 + 0
21 + -2x = -33

Add '-21' to each side of the equation.
21 + -21 + -2x = -33 + -21

Combine like terms: 21 + -21 = 0
0 + -2x = -33 + -21
-2x = -33 + -21

Combine like terms: -33 + -21 = -54
-2x = -54

Divide each side by '-2'.
x = 27

Simplifying
x = 27

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