(5t-3)2=(4t-1)2

Solution for (5t-3)2=(4t-1)2 equation:

Simplifying
(5t + -3) * 2 = (4t + -1) * 2

Reorder the terms:
(-3 + 5t) * 2 = (4t + -1) * 2

Reorder the terms for easier multiplication:
2(-3 + 5t) = (4t + -1) * 2
(-3 * 2 + 5t * 2) = (4t + -1) * 2
(-6 + 10t) = (4t + -1) * 2

Reorder the terms:
-6 + 10t = (-1 + 4t) * 2

Reorder the terms for easier multiplication:
-6 + 10t = 2(-1 + 4t)
-6 + 10t = (-1 * 2 + 4t * 2)
-6 + 10t = (-2 + 8t)

Solving
-6 + 10t = -2 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-6 + 10t + -8t = -2 + 8t + -8t

Combine like terms: 10t + -8t = 2t
-6 + 2t = -2 + 8t + -8t

Combine like terms: 8t + -8t = 0
-6 + 2t = -2 + 0
-6 + 2t = -2

Add '6' to each side of the equation.
-6 + 6 + 2t = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 2t = -2 + 6
2t = -2 + 6

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

Divide each side by '2'.
t = 2

Simplifying
t = 2