12(t-6)+6t=(3t+3)-10

Solution for 12(t-6)+6t=(3t+3)-10 equation:

Simplifying
12(t + -6) + 6t = (3t + 3) + -10

Reorder the terms:
12(-6 + t) + 6t = (3t + 3) + -10
(-6 * 12 + t * 12) + 6t = (3t + 3) + -10
(-72 + 12t) + 6t = (3t + 3) + -10

Combine like terms: 12t + 6t = 18t
-72 + 18t = (3t + 3) + -10

Reorder the terms:
-72 + 18t = (3 + 3t) + -10

Remove parenthesis around (3 + 3t)
-72 + 18t = 3 + 3t + -10

Reorder the terms:
-72 + 18t = 3 + -10 + 3t

Combine like terms: 3 + -10 = -7
-72 + 18t = -7 + 3t

Solving
-72 + 18t = -7 + 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.
-72 + 18t + -3t = -7 + 3t + -3t

Combine like terms: 18t + -3t = 15t
-72 + 15t = -7 + 3t + -3t

Combine like terms: 3t + -3t = 0
-72 + 15t = -7 + 0
-72 + 15t = -7

Add '72' to each side of the equation.
-72 + 72 + 15t = -7 + 72

Combine like terms: -72 + 72 = 0
0 + 15t = -7 + 72
15t = -7 + 72

Combine like terms: -7 + 72 = 65
15t = 65

Divide each side by '15'.
t = 4.333333333

Simplifying
t = 4.333333333