2(3-t)-(5-4t)=23

Solution for 2(3-t)-(5-4t)=23 equation:

Simplifying
2(3 + -1t) + -1(5 + -4t) = 23
(3 * 2 + -1t * 2) + -1(5 + -4t) = 23
(6 + -2t) + -1(5 + -4t) = 23
6 + -2t + (5 * -1 + -4t * -1) = 23
6 + -2t + (-5 + 4t) = 23

Reorder the terms:
6 + -5 + -2t + 4t = 23

Combine like terms: 6 + -5 = 1
1 + -2t + 4t = 23

Combine like terms: -2t + 4t = 2t
1 + 2t = 23

Solving
1 + 2t = 23

Solving for variable 't'.

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

Add '-1' to each side of the equation.
1 + -1 + 2t = 23 + -1

Combine like terms: 1 + -1 = 0
0 + 2t = 23 + -1
2t = 23 + -1

Combine like terms: 23 + -1 = 22
2t = 22

Divide each side by '2'.
t = 11

Simplifying
t = 11