5(5+t)-3(t+1)=

Solution for 5(5+t)-3(t+1)= equation:

Simplifying
5(5 + t) + -3(t + 1) = 0
(5 * 5 + t * 5) + -3(t + 1) = 0
(25 + 5t) + -3(t + 1) = 0

Reorder the terms:
25 + 5t + -3(1 + t) = 0
25 + 5t + (1 * -3 + t * -3) = 0
25 + 5t + (-3 + -3t) = 0

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

Combine like terms: 25 + -3 = 22
22 + 5t + -3t = 0

Combine like terms: 5t + -3t = 2t
22 + 2t = 0

Solving
22 + 2t = 0

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + 2t = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 2t = 0 + -22
2t = 0 + -22

Combine like terms: 0 + -22 = -22
2t = -22

Divide each side by '2'.
t = -11

Simplifying
t = -11