3(2t-1)=7t+1

Solution for 3(2t-1)=7t+1 equation:

Simplifying
3(2t + -1) = 7t + 1

Reorder the terms:
3(-1 + 2t) = 7t + 1
(-1 * 3 + 2t * 3) = 7t + 1
(-3 + 6t) = 7t + 1

Reorder the terms:
-3 + 6t = 1 + 7t

Solving
-3 + 6t = 1 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
-3 + 6t + -7t = 1 + 7t + -7t

Combine like terms: 6t + -7t = -1t
-3 + -1t = 1 + 7t + -7t

Combine like terms: 7t + -7t = 0
-3 + -1t = 1 + 0
-3 + -1t = 1

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

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

Combine like terms: 1 + 3 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4