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

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

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

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

Solving
10 + 5t = 2 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
10 + 5t + -2t = 2 + 2t + -2t

Combine like terms: 5t + -2t = 3t
10 + 3t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
10 + 3t = 2 + 0
10 + 3t = 2

Add '-10' to each side of the equation.
10 + -10 + 3t = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 3t = 2 + -10
3t = 2 + -10

Combine like terms: 2 + -10 = -8
3t = -8

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

Simplifying
t = -2.666666667