6(3t-2)+4(t-5)=78

Solution for 6(3t-2)+4(t-5)=78 equation:

Simplifying
6(3t + -2) + 4(t + -5) = 78

Reorder the terms:
6(-2 + 3t) + 4(t + -5) = 78
(-2 * 6 + 3t * 6) + 4(t + -5) = 78
(-12 + 18t) + 4(t + -5) = 78

Reorder the terms:
-12 + 18t + 4(-5 + t) = 78
-12 + 18t + (-5 * 4 + t * 4) = 78
-12 + 18t + (-20 + 4t) = 78

Reorder the terms:
-12 + -20 + 18t + 4t = 78

Combine like terms: -12 + -20 = -32
-32 + 18t + 4t = 78

Combine like terms: 18t + 4t = 22t
-32 + 22t = 78

Solving
-32 + 22t = 78

Solving for variable 't'.

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

Add '32' to each side of the equation.
-32 + 32 + 22t = 78 + 32

Combine like terms: -32 + 32 = 0
0 + 22t = 78 + 32
22t = 78 + 32

Combine like terms: 78 + 32 = 110
22t = 110

Divide each side by '22'.
t = 5

Simplifying
t = 5