4-(t+2)=2t+3(t-8)

Solution for 4-(t+2)=2t+3(t-8) equation:

Simplifying
4 + -1(t + 2) = 2t + 3(t + -8)

Reorder the terms:
4 + -1(2 + t) = 2t + 3(t + -8)
4 + (2 * -1 + t * -1) = 2t + 3(t + -8)
4 + (-2 + -1t) = 2t + 3(t + -8)

Combine like terms: 4 + -2 = 2
2 + -1t = 2t + 3(t + -8)

Reorder the terms:
2 + -1t = 2t + 3(-8 + t)
2 + -1t = 2t + (-8 * 3 + t * 3)
2 + -1t = 2t + (-24 + 3t)

Reorder the terms:
2 + -1t = -24 + 2t + 3t

Combine like terms: 2t + 3t = 5t
2 + -1t = -24 + 5t

Solving
2 + -1t = -24 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
2 + -1t + -5t = -24 + 5t + -5t

Combine like terms: -1t + -5t = -6t
2 + -6t = -24 + 5t + -5t

Combine like terms: 5t + -5t = 0
2 + -6t = -24 + 0
2 + -6t = -24

Add '-2' to each side of the equation.
2 + -2 + -6t = -24 + -2

Combine like terms: 2 + -2 = 0
0 + -6t = -24 + -2
-6t = -24 + -2

Combine like terms: -24 + -2 = -26
-6t = -26

Divide each side by '-6'.
t = 4.333333333

Simplifying
t = 4.333333333