3(2x+3)-1=(3x-2)

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Solution for 3(2x+3)-1=(3x-2) equation: 


Simplifying
3(2x + 3) + -1 = (3x + -2)

Reorder the terms:
3(3 + 2x) + -1 = (3x + -2)
(3 * 3 + 2x * 3) + -1 = (3x + -2)
(9 + 6x) + -1 = (3x + -2)

Reorder the terms:
9 + -1 + 6x = (3x + -2)

Combine like terms: 9 + -1 = 8
8 + 6x = (3x + -2)

Reorder the terms:
8 + 6x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)
8 + 6x = -2 + 3x

Solving
8 + 6x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 6x + -3x = -2 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
8 + 3x = -2 + 0
8 + 3x = -2

Add '-8' to each side of the equation.
8 + -8 + 3x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -2 + -8
3x = -2 + -8

Combine like terms: -2 + -8 = -10
3x = -10

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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