2(4t-3)=2-(1-t)

Solution for 2(4t-3)=2-(1-t) equation:

Simplifying
2(4t + -3) = 2 + -1(1 + -1t)

Reorder the terms:
2(-3 + 4t) = 2 + -1(1 + -1t)
(-3 * 2 + 4t * 2) = 2 + -1(1 + -1t)
(-6 + 8t) = 2 + -1(1 + -1t)
-6 + 8t = 2 + (1 * -1 + -1t * -1)
-6 + 8t = 2 + (-1 + 1t)

Combine like terms: 2 + -1 = 1
-6 + 8t = 1 + 1t

Solving
-6 + 8t = 1 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-6 + 8t + -1t = 1 + 1t + -1t

Combine like terms: 8t + -1t = 7t
-6 + 7t = 1 + 1t + -1t

Combine like terms: 1t + -1t = 0
-6 + 7t = 1 + 0
-6 + 7t = 1

Add '6' to each side of the equation.
-6 + 6 + 7t = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 7t = 1 + 6
7t = 1 + 6

Combine like terms: 1 + 6 = 7
7t = 7

Divide each side by '7'.
t = 1

Simplifying
t = 1