t+19=3(t-7)

Solution for t+19=3(t-7) equation:

Simplifying
t + 19 = 3(t + -7)

Reorder the terms:
19 + t = 3(t + -7)

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

Solving
19 + t = -21 + 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.
19 + t + -3t = -21 + 3t + -3t

Combine like terms: t + -3t = -2t
19 + -2t = -21 + 3t + -3t

Combine like terms: 3t + -3t = 0
19 + -2t = -21 + 0
19 + -2t = -21

Add '-19' to each side of the equation.
19 + -19 + -2t = -21 + -19

Combine like terms: 19 + -19 = 0
0 + -2t = -21 + -19
-2t = -21 + -19

Combine like terms: -21 + -19 = -40
-2t = -40

Divide each side by '-2'.
t = 20

Simplifying
t = 20