10-2(7-2t)=2(t-1)

Solution for 10-2(7-2t)=2(t-1) equation:

Simplifying
10 + -2(7 + -2t) = 2(t + -1)
10 + (7 * -2 + -2t * -2) = 2(t + -1)
10 + (-14 + 4t) = 2(t + -1)

Combine like terms: 10 + -14 = -4
-4 + 4t = 2(t + -1)

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

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

Solving for variable 't'.

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

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

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

Combine like terms: 2t + -2t = 0
-4 + 2t = -2 + 0
-4 + 2t = -2

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

Combine like terms: -4 + 4 = 0
0 + 2t = -2 + 4
2t = -2 + 4

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

Divide each side by '2'.
t = 1

Simplifying
t = 1