3(2+t)=4(t-5)

Solution for 3(2+t)=4(t-5) equation:

Simplifying
3(2 + t) = 4(t + -5)
(2 * 3 + t * 3) = 4(t + -5)
(6 + 3t) = 4(t + -5)

Reorder the terms:
6 + 3t = 4(-5 + t)
6 + 3t = (-5 * 4 + t * 4)
6 + 3t = (-20 + 4t)

Solving
6 + 3t = -20 + 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 = -20 + 4t + -4t

Combine like terms: 3t + -4t = -1t
6 + -1t = -20 + 4t + -4t

Combine like terms: 4t + -4t = 0
6 + -1t = -20 + 0
6 + -1t = -20

Add '-6' to each side of the equation.
6 + -6 + -1t = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = -20 + -6
-1t = -20 + -6

Combine like terms: -20 + -6 = -26
-1t = -26

Divide each side by '-1'.
t = 26

Simplifying
t = 26