(5t-1)=2(t-1)+4

Solution for (5t-1)=2(t-1)+4 equation:

Simplifying
(5t + -1) = 2(t + -1) + 4

Reorder the terms:
(-1 + 5t) = 2(t + -1) + 4

Remove parenthesis around (-1 + 5t)
-1 + 5t = 2(t + -1) + 4

Reorder the terms:
-1 + 5t = 2(-1 + t) + 4
-1 + 5t = (-1 * 2 + t * 2) + 4
-1 + 5t = (-2 + 2t) + 4

Reorder the terms:
-1 + 5t = -2 + 4 + 2t

Combine like terms: -2 + 4 = 2
-1 + 5t = 2 + 2t

Solving
-1 + 5t = 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 + 5t + -2t = 2 + 2t + -2t

Combine like terms: 5t + -2t = 3t
-1 + 3t = 2 + 2t + -2t

Combine like terms: 2t + -2t = 0
-1 + 3t = 2 + 0
-1 + 3t = 2

Add '1' to each side of the equation.
-1 + 1 + 3t = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 3t = 2 + 1
3t = 2 + 1

Combine like terms: 2 + 1 = 3
3t = 3

Divide each side by '3'.
t = 1

Simplifying
t = 1