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

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

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

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

Solving
-5 + 5t = -3 + 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.
-5 + 5t + -2t = -3 + 2t + -2t

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

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

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

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

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

Divide each side by '3'.
t = 0.6666666667

Simplifying
t = 0.6666666667