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

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

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

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

Reorder the terms:
10 + 5t = 2(3 + t)
10 + 5t = (3 * 2 + t * 2)
10 + 5t = (6 + 2t)

Solving
10 + 5t = 6 + 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 = 6 + 2t + -2t

Combine like terms: 5t + -2t = 3t
10 + 3t = 6 + 2t + -2t

Combine like terms: 2t + -2t = 0
10 + 3t = 6 + 0
10 + 3t = 6

Add '-10' to each side of the equation.
10 + -10 + 3t = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 3t = 6 + -10
3t = 6 + -10

Combine like terms: 6 + -10 = -4
3t = -4

Divide each side by '3'.
t = -1.333333333

Simplifying
t = -1.333333333