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

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


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

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

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

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

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

Solving
6 + 2x = 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.
6 + 2x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -1x = 1 + 0
6 + -1x = 1

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

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

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

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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