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

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


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

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

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

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

Combine like terms: -2 + -3 = -5
-5 + 6x + -3x = 1

Combine like terms: 6x + -3x = 3x
-5 + 3x = 1

Solving
-5 + 3x = 1

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 1 + 5
3x = 1 + 5

Combine like terms: 1 + 5 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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