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

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


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

Reorder the terms:
3(-2 + 3x) = 4x + 9
(-2 * 3 + 3x * 3) = 4x + 9
(-6 + 9x) = 4x + 9

Reorder the terms:
-6 + 9x = 9 + 4x

Solving
-6 + 9x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 9x + -4x = 9 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = 9 + 0
-6 + 5x = 9

Add '6' to each side of the equation.
-6 + 6 + 5x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 9 + 6
5x = 9 + 6

Combine like terms: 9 + 6 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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