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

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

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

Reorder the terms:
3(7 + t) + 2 = 6t(-2) + 2t
(7 * 3 + t * 3) + 2 = 6t(-2) + 2t
(21 + 3t) + 2 = 6t(-2) + 2t

Reorder the terms:
21 + 2 + 3t = 6t(-2) + 2t

Combine like terms: 21 + 2 = 23
23 + 3t = 6t(-2) + 2t

Reorder the terms for easier multiplication:
23 + 3t = 6 * -2t + 2t

Multiply 6 * -2
23 + 3t = -12t + 2t

Combine like terms: -12t + 2t = -10t
23 + 3t = -10t

Solving
23 + 3t = -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
23 + 3t + 10t = -10t + 10t

Combine like terms: 3t + 10t = 13t
23 + 13t = -10t + 10t

Combine like terms: -10t + 10t = 0
23 + 13t = 0

Add '-23' to each side of the equation.
23 + -23 + 13t = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 13t = 0 + -23
13t = 0 + -23

Combine like terms: 0 + -23 = -23
13t = -23

Divide each side by '13'.
t = -1.769230769

Simplifying
t = -1.769230769