2(2n+3)=7(9n+5)+3

Solution for 2(2n+3)=7(9n+5)+3 equation:

Simplifying
2(2n + 3) = 7(9n + 5) + 3

Reorder the terms:
2(3 + 2n) = 7(9n + 5) + 3
(3 * 2 + 2n * 2) = 7(9n + 5) + 3
(6 + 4n) = 7(9n + 5) + 3

Reorder the terms:
6 + 4n = 7(5 + 9n) + 3
6 + 4n = (5 * 7 + 9n * 7) + 3
6 + 4n = (35 + 63n) + 3

Reorder the terms:
6 + 4n = 35 + 3 + 63n

Combine like terms: 35 + 3 = 38
6 + 4n = 38 + 63n

Solving
6 + 4n = 38 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
6 + 4n + -63n = 38 + 63n + -63n

Combine like terms: 4n + -63n = -59n
6 + -59n = 38 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -59n = 38 + 0
6 + -59n = 38

Add '-6' to each side of the equation.
6 + -6 + -59n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -59n = 38 + -6
-59n = 38 + -6

Combine like terms: 38 + -6 = 32
-59n = 32

Divide each side by '-59'.
n = -0.5423728814

Simplifying
n = -0.5423728814