9+5(t-7)=3(t+2)+6

Solution for 9+5(t-7)=3(t+2)+6 equation:

Simplifying
9 + 5(t + -7) = 3(t + 2) + 6

Reorder the terms:
9 + 5(-7 + t) = 3(t + 2) + 6
9 + (-7 * 5 + t * 5) = 3(t + 2) + 6
9 + (-35 + 5t) = 3(t + 2) + 6

Combine like terms: 9 + -35 = -26
-26 + 5t = 3(t + 2) + 6

Reorder the terms:
-26 + 5t = 3(2 + t) + 6
-26 + 5t = (2 * 3 + t * 3) + 6
-26 + 5t = (6 + 3t) + 6

Reorder the terms:
-26 + 5t = 6 + 6 + 3t

Combine like terms: 6 + 6 = 12
-26 + 5t = 12 + 3t

Solving
-26 + 5t = 12 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-26 + 5t + -3t = 12 + 3t + -3t

Combine like terms: 5t + -3t = 2t
-26 + 2t = 12 + 3t + -3t

Combine like terms: 3t + -3t = 0
-26 + 2t = 12 + 0
-26 + 2t = 12

Add '26' to each side of the equation.
-26 + 26 + 2t = 12 + 26

Combine like terms: -26 + 26 = 0
0 + 2t = 12 + 26
2t = 12 + 26

Combine like terms: 12 + 26 = 38
2t = 38

Divide each side by '2'.
t = 19

Simplifying
t = 19