3(t-4)=-2(t+3)+19

Solution for 3(t-4)=-2(t+3)+19 equation:

Simplifying
3(t + -4) = -2(t + 3) + 19

Reorder the terms:
3(-4 + t) = -2(t + 3) + 19
(-4 * 3 + t * 3) = -2(t + 3) + 19
(-12 + 3t) = -2(t + 3) + 19

Reorder the terms:
-12 + 3t = -2(3 + t) + 19
-12 + 3t = (3 * -2 + t * -2) + 19
-12 + 3t = (-6 + -2t) + 19

Reorder the terms:
-12 + 3t = -6 + 19 + -2t

Combine like terms: -6 + 19 = 13
-12 + 3t = 13 + -2t

Solving
-12 + 3t = 13 + -2t

Solving for variable 't'.

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

Add '2t' to each side of the equation.
-12 + 3t + 2t = 13 + -2t + 2t

Combine like terms: 3t + 2t = 5t
-12 + 5t = 13 + -2t + 2t

Combine like terms: -2t + 2t = 0
-12 + 5t = 13 + 0
-12 + 5t = 13

Add '12' to each side of the equation.
-12 + 12 + 5t = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5t = 13 + 12
5t = 13 + 12

Combine like terms: 13 + 12 = 25
5t = 25

Divide each side by '5'.
t = 5

Simplifying
t = 5