(2x+9)=(3x-21)

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Solution for (2x+9)=(3x-21) equation:


Simplifying
(2x + 9) = (3x + -21)

Reorder the terms:
(9 + 2x) = (3x + -21)

Remove parenthesis around (9 + 2x)
9 + 2x = (3x + -21)

Reorder the terms:
9 + 2x = (-21 + 3x)

Remove parenthesis around (-21 + 3x)
9 + 2x = -21 + 3x

Solving
9 + 2x = -21 + 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.
9 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
9 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -1x = -21 + 0
9 + -1x = -21

Add '-9' to each side of the equation.
9 + -9 + -1x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -21 + -9
-1x = -21 + -9

Combine like terms: -21 + -9 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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