5+4(t-6)=2(t+5)+1

Solution for 5+4(t-6)=2(t+5)+1 equation:

Simplifying
5 + 4(t + -6) = 2(t + 5) + 1

Reorder the terms:
5 + 4(-6 + t) = 2(t + 5) + 1
5 + (-6 * 4 + t * 4) = 2(t + 5) + 1
5 + (-24 + 4t) = 2(t + 5) + 1

Combine like terms: 5 + -24 = -19
-19 + 4t = 2(t + 5) + 1

Reorder the terms:
-19 + 4t = 2(5 + t) + 1
-19 + 4t = (5 * 2 + t * 2) + 1
-19 + 4t = (10 + 2t) + 1

Reorder the terms:
-19 + 4t = 10 + 1 + 2t

Combine like terms: 10 + 1 = 11
-19 + 4t = 11 + 2t

Solving
-19 + 4t = 11 + 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.
-19 + 4t + -2t = 11 + 2t + -2t

Combine like terms: 4t + -2t = 2t
-19 + 2t = 11 + 2t + -2t

Combine like terms: 2t + -2t = 0
-19 + 2t = 11 + 0
-19 + 2t = 11

Add '19' to each side of the equation.
-19 + 19 + 2t = 11 + 19

Combine like terms: -19 + 19 = 0
0 + 2t = 11 + 19
2t = 11 + 19

Combine like terms: 11 + 19 = 30
2t = 30

Divide each side by '2'.
t = 15

Simplifying
t = 15