5t-6+2t=3(t+8)-t

Solution for 5t-6+2t=3(t+8)-t equation:

Simplifying
5t + -6 + 2t = 3(t + 8) + -1t

Reorder the terms:
-6 + 5t + 2t = 3(t + 8) + -1t

Combine like terms: 5t + 2t = 7t
-6 + 7t = 3(t + 8) + -1t

Reorder the terms:
-6 + 7t = 3(8 + t) + -1t
-6 + 7t = (8 * 3 + t * 3) + -1t
-6 + 7t = (24 + 3t) + -1t

Combine like terms: 3t + -1t = 2t
-6 + 7t = 24 + 2t

Solving
-6 + 7t = 24 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
-6 + 7t + -2t = 24 + 2t + -2t

Combine like terms: 7t + -2t = 5t
-6 + 5t = 24 + 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + 5t = 24 + 0
-6 + 5t = 24

Add '6' to each side of the equation.
-6 + 6 + 5t = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 5t = 24 + 6
5t = 24 + 6

Combine like terms: 24 + 6 = 30
5t = 30

Divide each side by '5'.
t = 6

Simplifying
t = 6