6(3-2t)+7t=6+t

Solution for 6(3-2t)+7t=6+t equation:

Simplifying
6(3 + -2t) + 7t = 6 + t
(3 * 6 + -2t * 6) + 7t = 6 + t
(18 + -12t) + 7t = 6 + t

Combine like terms: -12t + 7t = -5t
18 + -5t = 6 + t

Solving
18 + -5t = 6 + 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.
18 + -5t + -1t = 6 + t + -1t

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

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

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

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

Combine like terms: 6 + -18 = -12
-6t = -12

Divide each side by '-6'.
t = 2

Simplifying
t = 2