3+7(t-9)=4(t+9)+5

Solution for 3+7(t-9)=4(t+9)+5 equation:

Simplifying
3 + 7(t + -9) = 4(t + 9) + 5

Reorder the terms:
3 + 7(-9 + t) = 4(t + 9) + 5
3 + (-9 * 7 + t * 7) = 4(t + 9) + 5
3 + (-63 + 7t) = 4(t + 9) + 5

Combine like terms: 3 + -63 = -60
-60 + 7t = 4(t + 9) + 5

Reorder the terms:
-60 + 7t = 4(9 + t) + 5
-60 + 7t = (9 * 4 + t * 4) + 5
-60 + 7t = (36 + 4t) + 5

Reorder the terms:
-60 + 7t = 36 + 5 + 4t

Combine like terms: 36 + 5 = 41
-60 + 7t = 41 + 4t

Solving
-60 + 7t = 41 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-60 + 7t + -4t = 41 + 4t + -4t

Combine like terms: 7t + -4t = 3t
-60 + 3t = 41 + 4t + -4t

Combine like terms: 4t + -4t = 0
-60 + 3t = 41 + 0
-60 + 3t = 41

Add '60' to each side of the equation.
-60 + 60 + 3t = 41 + 60

Combine like terms: -60 + 60 = 0
0 + 3t = 41 + 60
3t = 41 + 60

Combine like terms: 41 + 60 = 101
3t = 101

Divide each side by '3'.
t = 33.66666667

Simplifying
t = 33.66666667