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

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


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

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

Reorder the terms:
6 + 9x = 2(4 + 3x)
6 + 9x = (4 * 2 + 3x * 2)
6 + 9x = (8 + 6x)

Solving
6 + 9x = 8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 9x + -6x = 8 + 6x + -6x

Combine like terms: 9x + -6x = 3x
6 + 3x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + 3x = 8 + 0
6 + 3x = 8

Add '-6' to each side of the equation.
6 + -6 + 3x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 8 + -6
3x = 8 + -6

Combine like terms: 8 + -6 = 2
3x = 2

Divide each side by '3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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