2(3x+1)=1-x

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


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

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

Solving
2 + 6x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
2 + 6x + x = 1 + -1x + x

Combine like terms: 6x + x = 7x
2 + 7x = 1 + -1x + x

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 1 + -2

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

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

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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