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

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


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

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

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

Solving
-3 + 9x = 1 + 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.
-3 + 9x + -2x = 1 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-3 + 7x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 7x = 1 + 0
-3 + 7x = 1

Add '3' to each side of the equation.
-3 + 3 + 7x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 1 + 3
7x = 1 + 3

Combine like terms: 1 + 3 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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