5(4+t)-3(t+1)=

Solution for 5(4+t)-3(t+1)= equation:

Simplifying
5(4 + t) + -3(t + 1) = 0
(4 * 5 + t * 5) + -3(t + 1) = 0
(20 + 5t) + -3(t + 1) = 0

Reorder the terms:
20 + 5t + -3(1 + t) = 0
20 + 5t + (1 * -3 + t * -3) = 0
20 + 5t + (-3 + -3t) = 0

Reorder the terms:
20 + -3 + 5t + -3t = 0

Combine like terms: 20 + -3 = 17
17 + 5t + -3t = 0

Combine like terms: 5t + -3t = 2t
17 + 2t = 0

Solving
17 + 2t = 0

Solving for variable 't'.

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

Add '-17' to each side of the equation.
17 + -17 + 2t = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 2t = 0 + -17
2t = 0 + -17

Combine like terms: 0 + -17 = -17
2t = -17

Divide each side by '2'.
t = -8.5

Simplifying
t = -8.5