-8(t-2)-(t+3)=10

Solution for -8(t-2)-(t+3)=10 equation:

Simplifying
-8(t + -2) + -1(t + 3) = 10

Reorder the terms:
-8(-2 + t) + -1(t + 3) = 10
(-2 * -8 + t * -8) + -1(t + 3) = 10
(16 + -8t) + -1(t + 3) = 10

Reorder the terms:
16 + -8t + -1(3 + t) = 10
16 + -8t + (3 * -1 + t * -1) = 10
16 + -8t + (-3 + -1t) = 10

Reorder the terms:
16 + -3 + -8t + -1t = 10

Combine like terms: 16 + -3 = 13
13 + -8t + -1t = 10

Combine like terms: -8t + -1t = -9t
13 + -9t = 10

Solving
13 + -9t = 10

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + -9t = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -9t = 10 + -13
-9t = 10 + -13

Combine like terms: 10 + -13 = -3
-9t = -3

Divide each side by '-9'.
t = 0.3333333333

Simplifying
t = 0.3333333333