6(t-2)+6=4(3t+4)-10

Solution for 6(t-2)+6=4(3t+4)-10 equation:

Simplifying
6(t + -2) + 6 = 4(3t + 4) + -10

Reorder the terms:
6(-2 + t) + 6 = 4(3t + 4) + -10
(-2 * 6 + t * 6) + 6 = 4(3t + 4) + -10
(-12 + 6t) + 6 = 4(3t + 4) + -10

Reorder the terms:
-12 + 6 + 6t = 4(3t + 4) + -10

Combine like terms: -12 + 6 = -6
-6 + 6t = 4(3t + 4) + -10

Reorder the terms:
-6 + 6t = 4(4 + 3t) + -10
-6 + 6t = (4 * 4 + 3t * 4) + -10
-6 + 6t = (16 + 12t) + -10

Reorder the terms:
-6 + 6t = 16 + -10 + 12t

Combine like terms: 16 + -10 = 6
-6 + 6t = 6 + 12t

Solving
-6 + 6t = 6 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-6 + 6t + -12t = 6 + 12t + -12t

Combine like terms: 6t + -12t = -6t
-6 + -6t = 6 + 12t + -12t

Combine like terms: 12t + -12t = 0
-6 + -6t = 6 + 0
-6 + -6t = 6

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

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

Combine like terms: 6 + 6 = 12
-6t = 12

Divide each side by '-6'.
t = -2

Simplifying
t = -2