(2x+6)=(7y+3)

Solution for (2x+6)=(7y+3) equation:

Simplifying
(2x + 6) = (7y + 3)

Reorder the terms:
(6 + 2x) = (7y + 3)

Remove parenthesis around (6 + 2x)
6 + 2x = (7y + 3)

Reorder the terms:
6 + 2x = (3 + 7y)

Remove parenthesis around (3 + 7y)
6 + 2x = 3 + 7y

Solving
6 + 2x = 3 + 7y

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x = 3 + -6 + 7y

Combine like terms: 6 + -6 = 0
0 + 2x = 3 + -6 + 7y
2x = 3 + -6 + 7y

Combine like terms: 3 + -6 = -3
2x = -3 + 7y

Divide each side by '2'.
x = -1.5 + 3.5y

Simplifying
x = -1.5 + 3.5y