(7t-6)=2(t+1)+1

Solution for (7t-6)=2(t+1)+1 equation:

Simplifying
(7t + -6) = 2(t + 1) + 1

Reorder the terms:
(-6 + 7t) = 2(t + 1) + 1

Remove parenthesis around (-6 + 7t)
-6 + 7t = 2(t + 1) + 1

Reorder the terms:
-6 + 7t = 2(1 + t) + 1
-6 + 7t = (1 * 2 + t * 2) + 1
-6 + 7t = (2 + 2t) + 1

Reorder the terms:
-6 + 7t = 2 + 1 + 2t

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

Solving
-6 + 7t = 3 + 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 = 3 + 2t + -2t

Combine like terms: 7t + -2t = 5t
-6 + 5t = 3 + 2t + -2t

Combine like terms: 2t + -2t = 0
-6 + 5t = 3 + 0
-6 + 5t = 3

Add '6' to each side of the equation.
-6 + 6 + 5t = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 5t = 3 + 6
5t = 3 + 6

Combine like terms: 3 + 6 = 9
5t = 9

Divide each side by '5'.
t = 1.8

Simplifying
t = 1.8