(6x+2)=(3x+1)

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Solution for (6x+2)=(3x+1) equation:


Simplifying
(6x + 2) = (3x + 1)

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

Remove parenthesis around (2 + 6x)
2 + 6x = (3x + 1)

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

Remove parenthesis around (1 + 3x)
2 + 6x = 1 + 3x

Solving
2 + 6x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 6x + -3x = 1 + 3x + -3x

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

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 1 + -2

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

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

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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