8-2(t+1)=3t+1

Solution for 8-2(t+1)=3t+1 equation:

Simplifying
8 + -2(t + 1) = 3t + 1

Reorder the terms:
8 + -2(1 + t) = 3t + 1
8 + (1 * -2 + t * -2) = 3t + 1
8 + (-2 + -2t) = 3t + 1

Combine like terms: 8 + -2 = 6
6 + -2t = 3t + 1

Reorder the terms:
6 + -2t = 1 + 3t

Solving
6 + -2t = 1 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
6 + -2t + -3t = 1 + 3t + -3t

Combine like terms: -2t + -3t = -5t
6 + -5t = 1 + 3t + -3t

Combine like terms: 3t + -3t = 0
6 + -5t = 1 + 0
6 + -5t = 1

Add '-6' to each side of the equation.
6 + -6 + -5t = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = 1 + -6
-5t = 1 + -6

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

Divide each side by '-5'.
t = 1

Simplifying
t = 1