3(t-13)+2(t-7)=7

Solution for 3(t-13)+2(t-7)=7 equation:

Simplifying
3(t + -13) + 2(t + -7) = 7

Reorder the terms:
3(-13 + t) + 2(t + -7) = 7
(-13 * 3 + t * 3) + 2(t + -7) = 7
(-39 + 3t) + 2(t + -7) = 7

Reorder the terms:
-39 + 3t + 2(-7 + t) = 7
-39 + 3t + (-7 * 2 + t * 2) = 7
-39 + 3t + (-14 + 2t) = 7

Reorder the terms:
-39 + -14 + 3t + 2t = 7

Combine like terms: -39 + -14 = -53
-53 + 3t + 2t = 7

Combine like terms: 3t + 2t = 5t
-53 + 5t = 7

Solving
-53 + 5t = 7

Solving for variable 't'.

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

Add '53' to each side of the equation.
-53 + 53 + 5t = 7 + 53

Combine like terms: -53 + 53 = 0
0 + 5t = 7 + 53
5t = 7 + 53

Combine like terms: 7 + 53 = 60
5t = 60

Divide each side by '5'.
t = 12

Simplifying
t = 12