-2(t-5)=t+1

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

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

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

Reorder the terms:
10 + -2t = 1 + t

Solving
10 + -2t = 1 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
10 + -2t + -1t = 1 + t + -1t

Combine like terms: -2t + -1t = -3t
10 + -3t = 1 + t + -1t

Combine like terms: t + -1t = 0
10 + -3t = 1 + 0
10 + -3t = 1

Add '-10' to each side of the equation.
10 + -10 + -3t = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3t = 1 + -10
-3t = 1 + -10

Combine like terms: 1 + -10 = -9
-3t = -9

Divide each side by '-3'.
t = 3

Simplifying
t = 3