3(7t-1)=5(3t+1)

Solution for 3(7t-1)=5(3t+1) equation:

Simplifying
3(7t + -1) = 5(3t + 1)

Reorder the terms:
3(-1 + 7t) = 5(3t + 1)
(-1 * 3 + 7t * 3) = 5(3t + 1)
(-3 + 21t) = 5(3t + 1)

Reorder the terms:
-3 + 21t = 5(1 + 3t)
-3 + 21t = (1 * 5 + 3t * 5)
-3 + 21t = (5 + 15t)

Solving
-3 + 21t = 5 + 15t

Solving for variable 't'.

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

Add '-15t' to each side of the equation.
-3 + 21t + -15t = 5 + 15t + -15t

Combine like terms: 21t + -15t = 6t
-3 + 6t = 5 + 15t + -15t

Combine like terms: 15t + -15t = 0
-3 + 6t = 5 + 0
-3 + 6t = 5

Add '3' to each side of the equation.
-3 + 3 + 6t = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 6t = 5 + 3
6t = 5 + 3

Combine like terms: 5 + 3 = 8
6t = 8

Divide each side by '6'.
t = 1.333333333

Simplifying
t = 1.333333333