2(t-5)+6(t+1)=

Solution for 2(t-5)+6(t+1)= equation:

Simplifying
2(t + -5) + 6(t + 1) = 0

Reorder the terms:
2(-5 + t) + 6(t + 1) = 0
(-5 * 2 + t * 2) + 6(t + 1) = 0
(-10 + 2t) + 6(t + 1) = 0

Reorder the terms:
-10 + 2t + 6(1 + t) = 0
-10 + 2t + (1 * 6 + t * 6) = 0
-10 + 2t + (6 + 6t) = 0

Reorder the terms:
-10 + 6 + 2t + 6t = 0

Combine like terms: -10 + 6 = -4
-4 + 2t + 6t = 0

Combine like terms: 2t + 6t = 8t
-4 + 8t = 0

Solving
-4 + 8t = 0

Solving for variable 't'.

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

Add '4' to each side of the equation.
-4 + 4 + 8t = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 8t = 0 + 4
8t = 0 + 4

Combine like terms: 0 + 4 = 4
8t = 4

Divide each side by '8'.
t = 0.5

Simplifying
t = 0.5