2(t+1)+3(4-t)=5

Solution for 2(t+1)+3(4-t)=5 equation:

Simplifying
2(t + 1) + 3(4 + -1t) = 5

Reorder the terms:
2(1 + t) + 3(4 + -1t) = 5
(1 * 2 + t * 2) + 3(4 + -1t) = 5
(2 + 2t) + 3(4 + -1t) = 5
2 + 2t + (4 * 3 + -1t * 3) = 5
2 + 2t + (12 + -3t) = 5

Reorder the terms:
2 + 12 + 2t + -3t = 5

Combine like terms: 2 + 12 = 14
14 + 2t + -3t = 5

Combine like terms: 2t + -3t = -1t
14 + -1t = 5

Solving
14 + -1t = 5

Solving for variable 't'.

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

Add '-14' to each side of the equation.
14 + -14 + -1t = 5 + -14

Combine like terms: 14 + -14 = 0
0 + -1t = 5 + -14
-1t = 5 + -14

Combine like terms: 5 + -14 = -9
-1t = -9

Divide each side by '-1'.
t = 9

Simplifying
t = 9