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

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

Simplifying
5(2 + -1t) + -1(4 + -3t) = 1
(2 * 5 + -1t * 5) + -1(4 + -3t) = 1
(10 + -5t) + -1(4 + -3t) = 1
10 + -5t + (4 * -1 + -3t * -1) = 1
10 + -5t + (-4 + 3t) = 1

Reorder the terms:
10 + -4 + -5t + 3t = 1

Combine like terms: 10 + -4 = 6
6 + -5t + 3t = 1

Combine like terms: -5t + 3t = -2t
6 + -2t = 1

Solving
6 + -2t = 1

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + -2t = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -2t = 1 + -6
-2t = 1 + -6

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

Divide each side by '-2'.
t = 2.5

Simplifying
t = 2.5