7(t+3)=3(1+t)

Solution for 7(t+3)=3(1+t) equation:

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

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

Solving
21 + 7t = 3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
21 + 7t + -3t = 3 + 3t + -3t

Combine like terms: 7t + -3t = 4t
21 + 4t = 3 + 3t + -3t

Combine like terms: 3t + -3t = 0
21 + 4t = 3 + 0
21 + 4t = 3

Add '-21' to each side of the equation.
21 + -21 + 4t = 3 + -21

Combine like terms: 21 + -21 = 0
0 + 4t = 3 + -21
4t = 3 + -21

Combine like terms: 3 + -21 = -18
4t = -18

Divide each side by '4'.
t = -4.5

Simplifying
t = -4.5