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

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

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

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

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

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

Solving
6 + -2t = 3

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 = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -2t = 3 + -6
-2t = 3 + -6

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

Divide each side by '-2'.
t = 1.5

Simplifying
t = 1.5