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

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

Simplifying
5(5 + t) + -3(t + 2) = 0
(5 * 5 + t * 5) + -3(t + 2) = 0
(25 + 5t) + -3(t + 2) = 0

Reorder the terms:
25 + 5t + -3(2 + t) = 0
25 + 5t + (2 * -3 + t * -3) = 0
25 + 5t + (-6 + -3t) = 0

Reorder the terms:
25 + -6 + 5t + -3t = 0

Combine like terms: 25 + -6 = 19
19 + 5t + -3t = 0

Combine like terms: 5t + -3t = 2t
19 + 2t = 0

Solving
19 + 2t = 0

Solving for variable 't'.

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

Add '-19' to each side of the equation.
19 + -19 + 2t = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 2t = 0 + -19
2t = 0 + -19

Combine like terms: 0 + -19 = -19
2t = -19

Divide each side by '2'.
t = -9.5

Simplifying
t = -9.5