21+3(t-4)=(t+5)

Solution for 21+3(t-4)=(t+5) equation:

Simplifying
21 + 3(t + -4) = (t + 5)

Reorder the terms:
21 + 3(-4 + t) = (t + 5)
21 + (-4 * 3 + t * 3) = (t + 5)
21 + (-12 + 3t) = (t + 5)

Combine like terms: 21 + -12 = 9
9 + 3t = (t + 5)

Reorder the terms:
9 + 3t = (5 + t)

Remove parenthesis around (5 + t)
9 + 3t = 5 + t

Solving
9 + 3t = 5 + 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.
9 + 3t + -1t = 5 + t + -1t

Combine like terms: 3t + -1t = 2t
9 + 2t = 5 + t + -1t

Combine like terms: t + -1t = 0
9 + 2t = 5 + 0
9 + 2t = 5

Add '-9' to each side of the equation.
9 + -9 + 2t = 5 + -9

Combine like terms: 9 + -9 = 0
0 + 2t = 5 + -9
2t = 5 + -9

Combine like terms: 5 + -9 = -4
2t = -4

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

Simplifying
t = -2