5t+3(t-2)=1

Solution for 5t+3(t-2)=1 equation:

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

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

Reorder the terms:
-6 + 5t + 3t = 1

Combine like terms: 5t + 3t = 8t
-6 + 8t = 1

Solving
-6 + 8t = 1

Solving for variable 't'.

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

Add '6' to each side of the equation.
-6 + 6 + 8t = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 8t = 1 + 6
8t = 1 + 6

Combine like terms: 1 + 6 = 7
8t = 7

Divide each side by '8'.
t = 0.875

Simplifying
t = 0.875