5+7(t-5)=4(t+8)+7

Solution for 5+7(t-5)=4(t+8)+7 equation:

Simplifying
5 + 7(t + -5) = 4(t + 8) + 7

Reorder the terms:
5 + 7(-5 + t) = 4(t + 8) + 7
5 + (-5 * 7 + t * 7) = 4(t + 8) + 7
5 + (-35 + 7t) = 4(t + 8) + 7

Combine like terms: 5 + -35 = -30
-30 + 7t = 4(t + 8) + 7

Reorder the terms:
-30 + 7t = 4(8 + t) + 7
-30 + 7t = (8 * 4 + t * 4) + 7
-30 + 7t = (32 + 4t) + 7

Reorder the terms:
-30 + 7t = 32 + 7 + 4t

Combine like terms: 32 + 7 = 39
-30 + 7t = 39 + 4t

Solving
-30 + 7t = 39 + 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.
-30 + 7t + -4t = 39 + 4t + -4t

Combine like terms: 7t + -4t = 3t
-30 + 3t = 39 + 4t + -4t

Combine like terms: 4t + -4t = 0
-30 + 3t = 39 + 0
-30 + 3t = 39

Add '30' to each side of the equation.
-30 + 30 + 3t = 39 + 30

Combine like terms: -30 + 30 = 0
0 + 3t = 39 + 30
3t = 39 + 30

Combine like terms: 39 + 30 = 69
3t = 69

Divide each side by '3'.
t = 23

Simplifying
t = 23