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

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

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

Reorder the terms:
2 + -3(-5 + t) = 4 + t
2 + (-5 * -3 + t * -3) = 4 + t
2 + (15 + -3t) = 4 + t

Combine like terms: 2 + 15 = 17
17 + -3t = 4 + t

Solving
17 + -3t = 4 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
17 + -3t + -1t = 4 + t + -1t

Combine like terms: -3t + -1t = -4t
17 + -4t = 4 + t + -1t

Combine like terms: t + -1t = 0
17 + -4t = 4 + 0
17 + -4t = 4

Add '-17' to each side of the equation.
17 + -17 + -4t = 4 + -17

Combine like terms: 17 + -17 = 0
0 + -4t = 4 + -17
-4t = 4 + -17

Combine like terms: 4 + -17 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25