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

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

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

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

Reorder the terms:
-12 + 2t + 4(-12 + t) = 3(t + -5) + -3
-12 + 2t + (-12 * 4 + t * 4) = 3(t + -5) + -3
-12 + 2t + (-48 + 4t) = 3(t + -5) + -3

Reorder the terms:
-12 + -48 + 2t + 4t = 3(t + -5) + -3

Combine like terms: -12 + -48 = -60
-60 + 2t + 4t = 3(t + -5) + -3

Combine like terms: 2t + 4t = 6t
-60 + 6t = 3(t + -5) + -3

Reorder the terms:
-60 + 6t = 3(-5 + t) + -3
-60 + 6t = (-5 * 3 + t * 3) + -3
-60 + 6t = (-15 + 3t) + -3

Reorder the terms:
-60 + 6t = -15 + -3 + 3t

Combine like terms: -15 + -3 = -18
-60 + 6t = -18 + 3t

Solving
-60 + 6t = -18 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-60 + 6t + -3t = -18 + 3t + -3t

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

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

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

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

Combine like terms: -18 + 60 = 42
3t = 42

Divide each side by '3'.
t = 14

Simplifying
t = 14