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

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

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

Reorder the terms:
7 + 7(-7 + t) = 3(t + -3) + 5
7 + (-7 * 7 + t * 7) = 3(t + -3) + 5
7 + (-49 + 7t) = 3(t + -3) + 5

Combine like terms: 7 + -49 = -42
-42 + 7t = 3(t + -3) + 5

Reorder the terms:
-42 + 7t = 3(-3 + t) + 5
-42 + 7t = (-3 * 3 + t * 3) + 5
-42 + 7t = (-9 + 3t) + 5

Reorder the terms:
-42 + 7t = -9 + 5 + 3t

Combine like terms: -9 + 5 = -4
-42 + 7t = -4 + 3t

Solving
-42 + 7t = -4 + 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.
-42 + 7t + -3t = -4 + 3t + -3t

Combine like terms: 7t + -3t = 4t
-42 + 4t = -4 + 3t + -3t

Combine like terms: 3t + -3t = 0
-42 + 4t = -4 + 0
-42 + 4t = -4

Add '42' to each side of the equation.
-42 + 42 + 4t = -4 + 42

Combine like terms: -42 + 42 = 0
0 + 4t = -4 + 42
4t = -4 + 42

Combine like terms: -4 + 42 = 38
4t = 38

Divide each side by '4'.
t = 9.5

Simplifying
t = 9.5