2(t-6)=10-2(2t-1)

Solution for 2(t-6)=10-2(2t-1) equation:

Simplifying
2(t + -6) = 10 + -2(2t + -1)

Reorder the terms:
2(-6 + t) = 10 + -2(2t + -1)
(-6 * 2 + t * 2) = 10 + -2(2t + -1)
(-12 + 2t) = 10 + -2(2t + -1)

Reorder the terms:
-12 + 2t = 10 + -2(-1 + 2t)
-12 + 2t = 10 + (-1 * -2 + 2t * -2)
-12 + 2t = 10 + (2 + -4t)

Combine like terms: 10 + 2 = 12
-12 + 2t = 12 + -4t

Solving
-12 + 2t = 12 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
-12 + 2t + 4t = 12 + -4t + 4t

Combine like terms: 2t + 4t = 6t
-12 + 6t = 12 + -4t + 4t

Combine like terms: -4t + 4t = 0
-12 + 6t = 12 + 0
-12 + 6t = 12

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

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

Combine like terms: 12 + 12 = 24
6t = 24

Divide each side by '6'.
t = 4

Simplifying
t = 4