3(2t-1)+1=-2(t-14)

Solution for 3(2t-1)+1=-2(t-14) equation:

Simplifying
3(2t + -1) + 1 = -2(t + -14)

Reorder the terms:
3(-1 + 2t) + 1 = -2(t + -14)
(-1 * 3 + 2t * 3) + 1 = -2(t + -14)
(-3 + 6t) + 1 = -2(t + -14)

Reorder the terms:
-3 + 1 + 6t = -2(t + -14)

Combine like terms: -3 + 1 = -2
-2 + 6t = -2(t + -14)

Reorder the terms:
-2 + 6t = -2(-14 + t)
-2 + 6t = (-14 * -2 + t * -2)
-2 + 6t = (28 + -2t)

Solving
-2 + 6t = 28 + -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.
-2 + 6t + 2t = 28 + -2t + 2t

Combine like terms: 6t + 2t = 8t
-2 + 8t = 28 + -2t + 2t

Combine like terms: -2t + 2t = 0
-2 + 8t = 28 + 0
-2 + 8t = 28

Add '2' to each side of the equation.
-2 + 2 + 8t = 28 + 2

Combine like terms: -2 + 2 = 0
0 + 8t = 28 + 2
8t = 28 + 2

Combine like terms: 28 + 2 = 30
8t = 30

Divide each side by '8'.
t = 3.75

Simplifying
t = 3.75