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

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


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

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

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

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

Combine like terms: -6 + -1 = -7
-7 + 9x + -3x = 1

Combine like terms: 9x + -3x = 6x
-7 + 6x = 1

Solving
-7 + 6x = 1

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 6x = 1 + 7
6x = 1 + 7

Combine like terms: 1 + 7 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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