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

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

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

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

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

Reorder the terms:
-3 + 3t = -6 + 5 + 2t

Combine like terms: -6 + 5 = -1
-3 + 3t = -1 + 2t

Solving
-3 + 3t = -1 + 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.
-3 + 3t + -2t = -1 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-3 + 1t = -1 + 2t + -2t

Combine like terms: 2t + -2t = 0
-3 + 1t = -1 + 0
-3 + 1t = -1

Add '3' to each side of the equation.
-3 + 3 + 1t = -1 + 3

Combine like terms: -3 + 3 = 0
0 + 1t = -1 + 3
1t = -1 + 3

Combine like terms: -1 + 3 = 2
1t = 2

Divide each side by '1'.
t = 2

Simplifying
t = 2