2(5+t)+6=t+22

Solution for 2(5+t)+6=t+22 equation:

Simplifying
2(5 + t) + 6 = t + 22
(5 * 2 + t * 2) + 6 = t + 22
(10 + 2t) + 6 = t + 22

Reorder the terms:
10 + 6 + 2t = t + 22

Combine like terms: 10 + 6 = 16
16 + 2t = t + 22

Reorder the terms:
16 + 2t = 22 + t

Solving
16 + 2t = 22 + 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.
16 + 2t + -1t = 22 + t + -1t

Combine like terms: 2t + -1t = 1t
16 + 1t = 22 + t + -1t

Combine like terms: t + -1t = 0
16 + 1t = 22 + 0
16 + 1t = 22

Add '-16' to each side of the equation.
16 + -16 + 1t = 22 + -16

Combine like terms: 16 + -16 = 0
0 + 1t = 22 + -16
1t = 22 + -16

Combine like terms: 22 + -16 = 6
1t = 6

Divide each side by '1'.
t = 6

Simplifying
t = 6