5(3+t)-2(t+1)=

Solution for 5(3+t)-2(t+1)= equation:

Simplifying
5(3 + t) + -2(t + 1) = 0
(3 * 5 + t * 5) + -2(t + 1) = 0
(15 + 5t) + -2(t + 1) = 0

Reorder the terms:
15 + 5t + -2(1 + t) = 0
15 + 5t + (1 * -2 + t * -2) = 0
15 + 5t + (-2 + -2t) = 0

Reorder the terms:
15 + -2 + 5t + -2t = 0

Combine like terms: 15 + -2 = 13
13 + 5t + -2t = 0

Combine like terms: 5t + -2t = 3t
13 + 3t = 0

Solving
13 + 3t = 0

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + 3t = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 3t = 0 + -13
3t = 0 + -13

Combine like terms: 0 + -13 = -13
3t = -13

Divide each side by '3'.
t = -4.333333333

Simplifying
t = -4.333333333