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

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

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

Reorder the terms:
2(-2 + t) + 3(5t) = 30
(-2 * 2 + t * 2) + 3(5t) = 30
(-4 + 2t) + 3(5t) = 30

Remove parenthesis around (5t)
-4 + 2t + 3 * 5t = 30

Multiply 3 * 5
-4 + 2t + 15t = 30

Combine like terms: 2t + 15t = 17t
-4 + 17t = 30

Solving
-4 + 17t = 30

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 17t = 30 + 4

Combine like terms: -4 + 4 = 0
0 + 17t = 30 + 4
17t = 30 + 4

Combine like terms: 30 + 4 = 34
17t = 34

Divide each side by '17'.
t = 2

Simplifying
t = 2