5(4+t)-2(t+1)=

Solution for 5(4+t)-2(t+1)= equation:

Simplifying
5(4 + t) + -2(t + 1) = 0
(4 * 5 + t * 5) + -2(t + 1) = 0
(20 + 5t) + -2(t + 1) = 0

Reorder the terms:
20 + 5t + -2(1 + t) = 0
20 + 5t + (1 * -2 + t * -2) = 0
20 + 5t + (-2 + -2t) = 0

Reorder the terms:
20 + -2 + 5t + -2t = 0

Combine like terms: 20 + -2 = 18
18 + 5t + -2t = 0

Combine like terms: 5t + -2t = 3t
18 + 3t = 0

Solving
18 + 3t = 0

Solving for variable 't'.

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

Add '-18' to each side of the equation.
18 + -18 + 3t = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 3t = 0 + -18
3t = 0 + -18

Combine like terms: 0 + -18 = -18
3t = -18

Divide each side by '3'.
t = -6

Simplifying
t = -6