(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 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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