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

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

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

Reorder the terms:
5(2 + t) = 3(t + 1)
(2 * 5 + t * 5) = 3(t + 1)
(10 + 5t) = 3(t + 1)

Reorder the terms:
10 + 5t = 3(1 + t)
10 + 5t = (1 * 3 + t * 3)
10 + 5t = (3 + 3t)

Solving
10 + 5t = 3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
10 + 5t + -3t = 3 + 3t + -3t

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

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

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

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

Combine like terms: 3 + -10 = -7
2t = -7

Divide each side by '2'.
t = -3.5

Simplifying
t = -3.5