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

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

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

Combine like terms: 5 + -4 = 1
6t + 3(1) = 12(2t + -5)

Multiply 3 * 1
6t + 3 = 12(2t + -5)

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

Reorder the terms:
3 + 6t = 12(-5 + 2t)
3 + 6t = (-5 * 12 + 2t * 12)
3 + 6t = (-60 + 24t)

Solving
3 + 6t = -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.
3 + 6t + -24t = -60 + 24t + -24t

Combine like terms: 6t + -24t = -18t
3 + -18t = -60 + 24t + -24t

Combine like terms: 24t + -24t = 0
3 + -18t = -60 + 0
3 + -18t = -60

Add '-3' to each side of the equation.
3 + -3 + -18t = -60 + -3

Combine like terms: 3 + -3 = 0
0 + -18t = -60 + -3
-18t = -60 + -3

Combine like terms: -60 + -3 = -63
-18t = -63

Divide each side by '-18'.
t = 3.5

Simplifying
t = 3.5