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

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


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

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

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

Multiply -3 * 2
-3 + 9x + -6x = 2

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

Solving
-3 + 3x = 2

Solving for variable 'x'.

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

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

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

Combine like terms: 2 + 3 = 5
3x = 5

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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