13+7(2x-1)=5(y+6)

Solution for 13+7(2x-1)=5(y+6) equation:

Simplifying
13 + 7(2x + -1) = 5(y + 6)

Reorder the terms:
13 + 7(-1 + 2x) = 5(y + 6)
13 + (-1 * 7 + 2x * 7) = 5(y + 6)
13 + (-7 + 14x) = 5(y + 6)

Combine like terms: 13 + -7 = 6
6 + 14x = 5(y + 6)

Reorder the terms:
6 + 14x = 5(6 + y)
6 + 14x = (6 * 5 + y * 5)
6 + 14x = (30 + 5y)

Solving
6 + 14x = 30 + 5y

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 + 14x = 30 + -6 + 5y

Combine like terms: 6 + -6 = 0
0 + 14x = 30 + -6 + 5y
14x = 30 + -6 + 5y

Combine like terms: 30 + -6 = 24
14x = 24 + 5y

Divide each side by '14'.
x = 1.714285714 + 0.3571428571y

Simplifying
x = 1.714285714 + 0.3571428571y