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

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


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

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

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

Solving
18 + 12x = 27 + 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.
18 + 12x + -9x = 27 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
18 + 3x = 27 + 0
18 + 3x = 27

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

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

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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