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

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

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

Reorder the terms:
3(-7 + t) + 4(t + 5) = 5t + 5
(-7 * 3 + t * 3) + 4(t + 5) = 5t + 5
(-21 + 3t) + 4(t + 5) = 5t + 5

Reorder the terms:
-21 + 3t + 4(5 + t) = 5t + 5
-21 + 3t + (5 * 4 + t * 4) = 5t + 5
-21 + 3t + (20 + 4t) = 5t + 5

Reorder the terms:
-21 + 20 + 3t + 4t = 5t + 5

Combine like terms: -21 + 20 = -1
-1 + 3t + 4t = 5t + 5

Combine like terms: 3t + 4t = 7t
-1 + 7t = 5t + 5

Reorder the terms:
-1 + 7t = 5 + 5t

Solving
-1 + 7t = 5 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-1 + 7t + -5t = 5 + 5t + -5t

Combine like terms: 7t + -5t = 2t
-1 + 2t = 5 + 5t + -5t

Combine like terms: 5t + -5t = 0
-1 + 2t = 5 + 0
-1 + 2t = 5

Add '1' to each side of the equation.
-1 + 1 + 2t = 5 + 1

Combine like terms: -1 + 1 = 0
0 + 2t = 5 + 1
2t = 5 + 1

Combine like terms: 5 + 1 = 6
2t = 6

Divide each side by '2'.
t = 3

Simplifying
t = 3