5t-6+2t=-t+18

Solution for 5t-6+2t=-t+18 equation:

Simplifying
5t + -6 + 2t = -1t + 18

Reorder the terms:
-6 + 5t + 2t = -1t + 18

Combine like terms: 5t + 2t = 7t
-6 + 7t = -1t + 18

Reorder the terms:
-6 + 7t = 18 + -1t

Solving
-6 + 7t = 18 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-6 + 7t + t = 18 + -1t + t

Combine like terms: 7t + t = 8t
-6 + 8t = 18 + -1t + t

Combine like terms: -1t + t = 0
-6 + 8t = 18 + 0
-6 + 8t = 18

Add '6' to each side of the equation.
-6 + 6 + 8t = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 8t = 18 + 6
8t = 18 + 6

Combine like terms: 18 + 6 = 24
8t = 24

Divide each side by '8'.
t = 3

Simplifying
t = 3