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

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

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

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

Reorder the terms:
6 + 6x = 2(-5 + y)
6 + 6x = (-5 * 2 + y * 2)
6 + 6x = (-10 + 2y)

Solving
6 + 6x = -10 + 2y

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 + 6x = -10 + -6 + 2y

Combine like terms: 6 + -6 = 0
0 + 6x = -10 + -6 + 2y
6x = -10 + -6 + 2y

Combine like terms: -10 + -6 = -16
6x = -16 + 2y

Divide each side by '6'.
x = -2.666666667 + 0.3333333333y

Simplifying
x = -2.666666667 + 0.3333333333y