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

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

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

Remove parenthesis around (4t)
2 * 4t + -1(t + -1) = 2(1 + -1t)

Multiply 2 * 4
8t + -1(t + -1) = 2(1 + -1t)

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

Reorder the terms:
1 + 8t + -1t = 2(1 + -1t)

Combine like terms: 8t + -1t = 7t
1 + 7t = 2(1 + -1t)
1 + 7t = (1 * 2 + -1t * 2)
1 + 7t = (2 + -2t)

Solving
1 + 7t = 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.
1 + 7t + 2t = 2 + -2t + 2t

Combine like terms: 7t + 2t = 9t
1 + 9t = 2 + -2t + 2t

Combine like terms: -2t + 2t = 0
1 + 9t = 2 + 0
1 + 9t = 2

Add '-1' to each side of the equation.
1 + -1 + 9t = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 9t = 2 + -1
9t = 2 + -1

Combine like terms: 2 + -1 = 1
9t = 1

Divide each side by '9'.
t = 0.1111111111

Simplifying
t = 0.1111111111