4(t+8)=56+2t

Solution for 4(t+8)=56+2t equation:

Simplifying
4(t + 8) = 56 + 2t

Reorder the terms:
4(8 + t) = 56 + 2t
(8 * 4 + t * 4) = 56 + 2t
(32 + 4t) = 56 + 2t

Solving
32 + 4t = 56 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
32 + 4t + -2t = 56 + 2t + -2t

Combine like terms: 4t + -2t = 2t
32 + 2t = 56 + 2t + -2t

Combine like terms: 2t + -2t = 0
32 + 2t = 56 + 0
32 + 2t = 56

Add '-32' to each side of the equation.
32 + -32 + 2t = 56 + -32

Combine like terms: 32 + -32 = 0
0 + 2t = 56 + -32
2t = 56 + -32

Combine like terms: 56 + -32 = 24
2t = 24

Divide each side by '2'.
t = 12

Simplifying
t = 12