2(t-6)+6=4(2t+5)-10

Solution for 2(t-6)+6=4(2t+5)-10 equation:

Simplifying
2(t + -6) + 6 = 4(2t + 5) + -10

Reorder the terms:
2(-6 + t) + 6 = 4(2t + 5) + -10
(-6 * 2 + t * 2) + 6 = 4(2t + 5) + -10
(-12 + 2t) + 6 = 4(2t + 5) + -10

Reorder the terms:
-12 + 6 + 2t = 4(2t + 5) + -10

Combine like terms: -12 + 6 = -6
-6 + 2t = 4(2t + 5) + -10

Reorder the terms:
-6 + 2t = 4(5 + 2t) + -10
-6 + 2t = (5 * 4 + 2t * 4) + -10
-6 + 2t = (20 + 8t) + -10

Reorder the terms:
-6 + 2t = 20 + -10 + 8t

Combine like terms: 20 + -10 = 10
-6 + 2t = 10 + 8t

Solving
-6 + 2t = 10 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-6 + 2t + -8t = 10 + 8t + -8t

Combine like terms: 2t + -8t = -6t
-6 + -6t = 10 + 8t + -8t

Combine like terms: 8t + -8t = 0
-6 + -6t = 10 + 0
-6 + -6t = 10

Add '6' to each side of the equation.
-6 + 6 + -6t = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -6t = 10 + 6
-6t = 10 + 6

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

Divide each side by '-6'.
t = -2.666666667

Simplifying
t = -2.666666667