9(x+3)=6(2x+3)

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Solution for 9(x+3)=6(2x+3) equation:


Simplifying
9(x + 3) = 6(2x + 3)

Reorder the terms:
9(3 + x) = 6(2x + 3)
(3 * 9 + x * 9) = 6(2x + 3)
(27 + 9x) = 6(2x + 3)

Reorder the terms:
27 + 9x = 6(3 + 2x)
27 + 9x = (3 * 6 + 2x * 6)
27 + 9x = (18 + 12x)

Solving
27 + 9x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
27 + 9x + -12x = 18 + 12x + -12x

Combine like terms: 9x + -12x = -3x
27 + -3x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
27 + -3x = 18 + 0
27 + -3x = 18

Add '-27' to each side of the equation.
27 + -27 + -3x = 18 + -27

Combine like terms: 27 + -27 = 0
0 + -3x = 18 + -27
-3x = 18 + -27

Combine like terms: 18 + -27 = -9
-3x = -9

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

Simplifying
x = 3

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