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

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


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

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

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

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

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

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

Solving
-1 + 9x = 2

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 9x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 9x = 2 + 1
9x = 2 + 1

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

Divide each side by '9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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