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)

Solving
-6 + 10t = 6 + 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.
-6 + 10t + -2t = 6 + 2t + -2t

Combine like terms: 10t + -2t = 8t
-6 + 8t = 6 + 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + 8t = 6 + 0
-6 + 8t = 6

Add '6' to each side of the equation.
-6 + 6 + 8t = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 8t = 6 + 6
8t = 6 + 6

Combine like terms: 6 + 6 = 12
8t = 12

Divide each side by '8'.
t = 1.5

Simplifying
t = 1.5