8t+6(1.5-t)=10

Solution for 8t+6(1.5-t)=10 equation:

Simplifying
8t + 6(1.5 + -1t) = 10
8t + (1.5 * 6 + -1t * 6) = 10
8t + (9 + -6t) = 10

Reorder the terms:
9 + 8t + -6t = 10

Combine like terms: 8t + -6t = 2t
9 + 2t = 10

Solving
9 + 2t = 10

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + 2t = 10 + -9

Combine like terms: 9 + -9 = 0
0 + 2t = 10 + -9
2t = 10 + -9

Combine like terms: 10 + -9 = 1
2t = 1

Divide each side by '2'.
t = 0.5

Simplifying
t = 0.5