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

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

Simplifying
5(2 + t) + -2(t + 1) = 0
(2 * 5 + t * 5) + -2(t + 1) = 0
(10 + 5t) + -2(t + 1) = 0

Reorder the terms:
10 + 5t + -2(1 + t) = 0
10 + 5t + (1 * -2 + t * -2) = 0
10 + 5t + (-2 + -2t) = 0

Reorder the terms:
10 + -2 + 5t + -2t = 0

Combine like terms: 10 + -2 = 8
8 + 5t + -2t = 0

Combine like terms: 5t + -2t = 3t
8 + 3t = 0

Solving
8 + 3t = 0

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + 3t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3t = 0 + -8
3t = 0 + -8

Combine like terms: 0 + -8 = -8
3t = -8

Divide each side by '3'.
t = -2.666666667

Simplifying
t = -2.666666667