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

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

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

Reorder the terms:
2(-5 + t) = 3 + -1(4 + t)
(-5 * 2 + t * 2) = 3 + -1(4 + t)
(-10 + 2t) = 3 + -1(4 + t)
-10 + 2t = 3 + (4 * -1 + t * -1)
-10 + 2t = 3 + (-4 + -1t)

Combine like terms: 3 + -4 = -1
-10 + 2t = -1 + -1t

Solving
-10 + 2t = -1 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-10 + 2t + t = -1 + -1t + t

Combine like terms: 2t + t = 3t
-10 + 3t = -1 + -1t + t

Combine like terms: -1t + t = 0
-10 + 3t = -1 + 0
-10 + 3t = -1

Add '10' to each side of the equation.
-10 + 10 + 3t = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 3t = -1 + 10
3t = -1 + 10

Combine like terms: -1 + 10 = 9
3t = 9

Divide each side by '3'.
t = 3

Simplifying
t = 3