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

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

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

Reorder the terms:
25 + 5t + -3(3 + t) = 0
25 + 5t + (3 * -3 + t * -3) = 0
25 + 5t + (-9 + -3t) = 0

Reorder the terms:
25 + -9 + 5t + -3t = 0

Combine like terms: 25 + -9 = 16
16 + 5t + -3t = 0

Combine like terms: 5t + -3t = 2t
16 + 2t = 0

Solving
16 + 2t = 0

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + 2t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 2t = 0 + -16
2t = 0 + -16

Combine like terms: 0 + -16 = -16
2t = -16

Divide each side by '2'.
t = -8

Simplifying
t = -8