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

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

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

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

Reorder the terms:
25 + -6 + 5t + -2t = 0

Combine like terms: 25 + -6 = 19
19 + 5t + -2t = 0

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

Solving
19 + 3t = 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 + 3t = 0 + -19

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

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

Divide each side by '3'.
t = -6.333333333

Simplifying
t = -6.333333333