3(t+19)=t-7

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

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

Reorder the terms:
3(19 + t) = t + -7
(19 * 3 + t * 3) = t + -7
(57 + 3t) = t + -7

Reorder the terms:
57 + 3t = -7 + t

Solving
57 + 3t = -7 + 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.
57 + 3t + -1t = -7 + t + -1t

Combine like terms: 3t + -1t = 2t
57 + 2t = -7 + t + -1t

Combine like terms: t + -1t = 0
57 + 2t = -7 + 0
57 + 2t = -7

Add '-57' to each side of the equation.
57 + -57 + 2t = -7 + -57

Combine like terms: 57 + -57 = 0
0 + 2t = -7 + -57
2t = -7 + -57

Combine like terms: -7 + -57 = -64
2t = -64

Divide each side by '2'.
t = -32

Simplifying
t = -32