2(5t-3)+t=30-t

Solution for 2(5t-3)+t=30-t equation:

Simplifying
2(5t + -3) + t = 30 + -1t

Reorder the terms:
2(-3 + 5t) + t = 30 + -1t
(-3 * 2 + 5t * 2) + t = 30 + -1t
(-6 + 10t) + t = 30 + -1t

Combine like terms: 10t + t = 11t
-6 + 11t = 30 + -1t

Solving
-6 + 11t = 30 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-6 + 11t + t = 30 + -1t + t

Combine like terms: 11t + t = 12t
-6 + 12t = 30 + -1t + t

Combine like terms: -1t + t = 0
-6 + 12t = 30 + 0
-6 + 12t = 30

Add '6' to each side of the equation.
-6 + 6 + 12t = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 12t = 30 + 6
12t = 30 + 6

Combine like terms: 30 + 6 = 36
12t = 36

Divide each side by '12'.
t = 3

Simplifying
t = 3