3(3x+2)=8+(2x+4)

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Solution for 3(3x+2)=8+(2x+4) equation:


Simplifying
3(3x + 2) = 8 + (2x + 4)

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

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

Remove parenthesis around (4 + 2x)
6 + 9x = 8 + 4 + 2x

Combine like terms: 8 + 4 = 12
6 + 9x = 12 + 2x

Solving
6 + 9x = 12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 9x + -2x = 12 + 2x + -2x

Combine like terms: 9x + -2x = 7x
6 + 7x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 7x = 12 + 0
6 + 7x = 12

Add '-6' to each side of the equation.
6 + -6 + 7x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 12 + -6
7x = 12 + -6

Combine like terms: 12 + -6 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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