3(r+2)+5(r+t-2)=

Solution for 3(r+2)+5(r+t-2)= equation:

Simplifying
3(r + 2) + 5(r + t + -2) = 0

Reorder the terms:
3(2 + r) + 5(r + t + -2) = 0
(2 * 3 + r * 3) + 5(r + t + -2) = 0
(6 + 3r) + 5(r + t + -2) = 0

Reorder the terms:
6 + 3r + 5(-2 + r + t) = 0
6 + 3r + (-2 * 5 + r * 5 + t * 5) = 0
6 + 3r + (-10 + 5r + 5t) = 0

Reorder the terms:
6 + -10 + 3r + 5r + 5t = 0

Combine like terms: 6 + -10 = -4
-4 + 3r + 5r + 5t = 0

Combine like terms: 3r + 5r = 8r
-4 + 8r + 5t = 0

Solving
-4 + 8r + 5t = 0

Solving for variable 'r'.

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

Add '4' to each side of the equation.
-4 + 8r + 4 + 5t = 0 + 4

Reorder the terms:
-4 + 4 + 8r + 5t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8r + 5t = 0 + 4
8r + 5t = 0 + 4

Combine like terms: 0 + 4 = 4
8r + 5t = 4

Add '-5t' to each side of the equation.
8r + 5t + -5t = 4 + -5t

Combine like terms: 5t + -5t = 0
8r + 0 = 4 + -5t
8r = 4 + -5t

Divide each side by '8'.
r = 0.5 + -0.625t

Simplifying
r = 0.5 + -0.625t