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

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

Simplifying
7(t + 3) = 2(3 + -1t)

Reorder the terms:
7(3 + t) = 2(3 + -1t)
(3 * 7 + t * 7) = 2(3 + -1t)
(21 + 7t) = 2(3 + -1t)
21 + 7t = (3 * 2 + -1t * 2)
21 + 7t = (6 + -2t)

Solving
21 + 7t = 6 + -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.
21 + 7t + 2t = 6 + -2t + 2t

Combine like terms: 7t + 2t = 9t
21 + 9t = 6 + -2t + 2t

Combine like terms: -2t + 2t = 0
21 + 9t = 6 + 0
21 + 9t = 6

Add '-21' to each side of the equation.
21 + -21 + 9t = 6 + -21

Combine like terms: 21 + -21 = 0
0 + 9t = 6 + -21
9t = 6 + -21

Combine like terms: 6 + -21 = -15
9t = -15

Divide each side by '9'.
t = -1.666666667

Simplifying
t = -1.666666667