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

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


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

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

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

Remove parenthesis around (2 + 3x)
-9 + 6x = 2 + 3x + 1

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

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

Solving
-9 + 6x = 3 + 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.
-9 + 6x + -3x = 3 + 3x + -3x

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

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

Add '9' to each side of the equation.
-9 + 9 + 3x = 3 + 9

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

Combine like terms: 3 + 9 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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