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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 10t = -6 + 6 + -2t

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

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

Solving
10t = -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.
10t + 2t = -2t + 2t

Combine like terms: 10t + 2t = 12t
12t = -2t + 2t

Combine like terms: -2t + 2t = 0
12t = 0

Divide each side by '12'.
t = 0

Simplifying
t = 0