3(t+2)=4t+21

Solution for 3(t+2)=4t+21 equation:

Simplifying
3(t + 2) = 4t + 21

Reorder the terms:
3(2 + t) = 4t + 21
(2 * 3 + t * 3) = 4t + 21
(6 + 3t) = 4t + 21

Reorder the terms:
6 + 3t = 21 + 4t

Solving
6 + 3t = 21 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
6 + 3t + -4t = 21 + 4t + -4t

Combine like terms: 3t + -4t = -1t
6 + -1t = 21 + 4t + -4t

Combine like terms: 4t + -4t = 0
6 + -1t = 21 + 0
6 + -1t = 21

Add '-6' to each side of the equation.
6 + -6 + -1t = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 21 + -6
-1t = 21 + -6

Combine like terms: 21 + -6 = 15
-1t = 15

Divide each side by '-1'.
t = -15

Simplifying
t = -15