6+3(5t-4)=12(2t-5)

Solution for 6+3(5t-4)=12(2t-5) equation:

Simplifying
6 + 3(5t + -4) = 12(2t + -5)

Reorder the terms:
6 + 3(-4 + 5t) = 12(2t + -5)
6 + (-4 * 3 + 5t * 3) = 12(2t + -5)
6 + (-12 + 15t) = 12(2t + -5)

Combine like terms: 6 + -12 = -6
-6 + 15t = 12(2t + -5)

Reorder the terms:
-6 + 15t = 12(-5 + 2t)
-6 + 15t = (-5 * 12 + 2t * 12)
-6 + 15t = (-60 + 24t)

Solving
-6 + 15t = -60 + 24t

Solving for variable 't'.

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

Add '-24t' to each side of the equation.
-6 + 15t + -24t = -60 + 24t + -24t

Combine like terms: 15t + -24t = -9t
-6 + -9t = -60 + 24t + -24t

Combine like terms: 24t + -24t = 0
-6 + -9t = -60 + 0
-6 + -9t = -60

Add '6' to each side of the equation.
-6 + 6 + -9t = -60 + 6

Combine like terms: -6 + 6 = 0
0 + -9t = -60 + 6
-9t = -60 + 6

Combine like terms: -60 + 6 = -54
-9t = -54

Divide each side by '-9'.
t = 6

Simplifying
t = 6