(6x+1)=(2x+13)

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Solution for (6x+1)=(2x+13) equation:


Simplifying
(6x + 1) = (2x + 13)

Reorder the terms:
(1 + 6x) = (2x + 13)

Remove parenthesis around (1 + 6x)
1 + 6x = (2x + 13)

Reorder the terms:
1 + 6x = (13 + 2x)

Remove parenthesis around (13 + 2x)
1 + 6x = 13 + 2x

Solving
1 + 6x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
1 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 4x = 13 + 0
1 + 4x = 13

Add '-1' to each side of the equation.
1 + -1 + 4x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 13 + -1
4x = 13 + -1

Combine like terms: 13 + -1 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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