4(5-t)-(3-2t)=10

Solution for 4(5-t)-(3-2t)=10 equation:

Simplifying
4(5 + -1t) + -1(3 + -2t) = 10
(5 * 4 + -1t * 4) + -1(3 + -2t) = 10
(20 + -4t) + -1(3 + -2t) = 10
20 + -4t + (3 * -1 + -2t * -1) = 10
20 + -4t + (-3 + 2t) = 10

Reorder the terms:
20 + -3 + -4t + 2t = 10

Combine like terms: 20 + -3 = 17
17 + -4t + 2t = 10

Combine like terms: -4t + 2t = -2t
17 + -2t = 10

Solving
17 + -2t = 10

Solving for variable 't'.

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

Add '-17' to each side of the equation.
17 + -17 + -2t = 10 + -17

Combine like terms: 17 + -17 = 0
0 + -2t = 10 + -17
-2t = 10 + -17

Combine like terms: 10 + -17 = -7
-2t = -7

Divide each side by '-2'.
t = 3.5

Simplifying
t = 3.5