3(3x+2)=2(8+2x)

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Solution for 3(3x+2)=2(8+2x) equation: 


Simplifying
3(3x + 2) = 2(8 + 2x)

Reorder the terms:
3(2 + 3x) = 2(8 + 2x)
(2 * 3 + 3x * 3) = 2(8 + 2x)
(6 + 9x) = 2(8 + 2x)
6 + 9x = (8 * 2 + 2x * 2)
6 + 9x = (16 + 4x)

Solving
6 + 9x = 16 + 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 = 16 + 4x + -4x

Combine like terms: 9x + -4x = 5x
6 + 5x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 5x = 16 + 0
6 + 5x = 16

Add '-6' to each side of the equation.
6 + -6 + 5x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 16 + -6
5x = 16 + -6

Combine like terms: 16 + -6 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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