5(5+t)-3(t-6)=

Solution for 5(5+t)-3(t-6)= equation:

Simplifying
5(5 + t) + -3(t + -6) = 0
(5 * 5 + t * 5) + -3(t + -6) = 0
(25 + 5t) + -3(t + -6) = 0

Reorder the terms:
25 + 5t + -3(-6 + t) = 0
25 + 5t + (-6 * -3 + t * -3) = 0
25 + 5t + (18 + -3t) = 0

Reorder the terms:
25 + 18 + 5t + -3t = 0

Combine like terms: 25 + 18 = 43
43 + 5t + -3t = 0

Combine like terms: 5t + -3t = 2t
43 + 2t = 0

Solving
43 + 2t = 0

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + 2t = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 2t = 0 + -43
2t = 0 + -43

Combine like terms: 0 + -43 = -43
2t = -43

Divide each side by '2'.
t = -21.5

Simplifying
t = -21.5