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

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

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

Reorder the terms:
3(-5 + t) = 2(t + -1)
(-5 * 3 + t * 3) = 2(t + -1)
(-15 + 3t) = 2(t + -1)

Reorder the terms:
-15 + 3t = 2(-1 + t)
-15 + 3t = (-1 * 2 + t * 2)
-15 + 3t = (-2 + 2t)

Solving
-15 + 3t = -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.
-15 + 3t + -2t = -2 + 2t + -2t

Combine like terms: 3t + -2t = 1t
-15 + 1t = -2 + 2t + -2t

Combine like terms: 2t + -2t = 0
-15 + 1t = -2 + 0
-15 + 1t = -2

Add '15' to each side of the equation.
-15 + 15 + 1t = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 1t = -2 + 15
1t = -2 + 15

Combine like terms: -2 + 15 = 13
1t = 13

Divide each side by '1'.
t = 13

Simplifying
t = 13