6(t+.5)=8t

Solution for 6(t+.5)=8t equation:

Simplifying
6(t + 0.5) = 8t

Reorder the terms:
6(0.5 + t) = 8t
(0.5 * 6 + t * 6) = 8t
(3 + 6t) = 8t

Solving
3 + 6t = 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
3 + 6t + -8t = 8t + -8t

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

Combine like terms: 8t + -8t = 0
3 + -2t = 0

Add '-3' to each side of the equation.
3 + -3 + -2t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2t = 0 + -3
-2t = 0 + -3

Combine like terms: 0 + -3 = -3
-2t = -3

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5