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

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

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

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

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

Solving
-6 + 6t = 10 + 10t

Solving for variable 't'.

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

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

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

Combine like terms: 10t + -10t = 0
-6 + -4t = 10 + 0
-6 + -4t = 10

Add '6' to each side of the equation.
-6 + 6 + -4t = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -4t = 10 + 6
-4t = 10 + 6

Combine like terms: 10 + 6 = 16
-4t = 16

Divide each side by '-4'.
t = -4

Simplifying
t = -4