5t-3(t-2)=t+8

Solution for 5t-3(t-2)=t+8 equation:

Simplifying
5t + -3(t + -2) = t + 8

Reorder the terms:
5t + -3(-2 + t) = t + 8
5t + (-2 * -3 + t * -3) = t + 8
5t + (6 + -3t) = t + 8

Reorder the terms:
6 + 5t + -3t = t + 8

Combine like terms: 5t + -3t = 2t
6 + 2t = t + 8

Reorder the terms:
6 + 2t = 8 + t

Solving
6 + 2t = 8 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
6 + 2t + -1t = 8 + t + -1t

Combine like terms: 2t + -1t = 1t
6 + 1t = 8 + t + -1t

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

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

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

Combine like terms: 8 + -6 = 2
1t = 2

Divide each side by '1'.
t = 2

Simplifying
t = 2