(2x-9)=3(3x+4)

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Solution for (2x-9)=3(3x+4) equation:


Simplifying
(2x + -9) = 3(3x + 4)

Reorder the terms:
(-9 + 2x) = 3(3x + 4)

Remove parenthesis around (-9 + 2x)
-9 + 2x = 3(3x + 4)

Reorder the terms:
-9 + 2x = 3(4 + 3x)
-9 + 2x = (4 * 3 + 3x * 3)
-9 + 2x = (12 + 9x)

Solving
-9 + 2x = 12 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-9 + 2x + -9x = 12 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-9 + -7x = 12 + 9x + -9x

Combine like terms: 9x + -9x = 0
-9 + -7x = 12 + 0
-9 + -7x = 12

Add '9' to each side of the equation.
-9 + 9 + -7x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = 12 + 9
-7x = 12 + 9

Combine like terms: 12 + 9 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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