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

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

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

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

Reorder the terms:
-16 + 8t = 3(8 + t)
-16 + 8t = (8 * 3 + t * 3)
-16 + 8t = (24 + 3t)

Solving
-16 + 8t = 24 + 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.
-16 + 8t + -3t = 24 + 3t + -3t

Combine like terms: 8t + -3t = 5t
-16 + 5t = 24 + 3t + -3t

Combine like terms: 3t + -3t = 0
-16 + 5t = 24 + 0
-16 + 5t = 24

Add '16' to each side of the equation.
-16 + 16 + 5t = 24 + 16

Combine like terms: -16 + 16 = 0
0 + 5t = 24 + 16
5t = 24 + 16

Combine like terms: 24 + 16 = 40
5t = 40

Divide each side by '5'.
t = 8

Simplifying
t = 8