2(3x+1)+4=2-x

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Solution for 2(3x+1)+4=2-x equation:


Simplifying
2(3x + 1) + 4 = 2 + -1x

Reorder the terms:
2(1 + 3x) + 4 = 2 + -1x
(1 * 2 + 3x * 2) + 4 = 2 + -1x
(2 + 6x) + 4 = 2 + -1x

Reorder the terms:
2 + 4 + 6x = 2 + -1x

Combine like terms: 2 + 4 = 6
6 + 6x = 2 + -1x

Solving
6 + 6x = 2 + -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.
6 + 6x + x = 2 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 7x = 2 + 0
6 + 7x = 2

Add '-6' to each side of the equation.
6 + -6 + 7x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 2 + -6
7x = 2 + -6

Combine like terms: 2 + -6 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714

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