14-3(5t-12)=1-(20t+1)

Solution for 14-3(5t-12)=1-(20t+1) equation:

Simplifying
14 + -3(5t + -12) = 1 + -1(20t + 1)

Reorder the terms:
14 + -3(-12 + 5t) = 1 + -1(20t + 1)
14 + (-12 * -3 + 5t * -3) = 1 + -1(20t + 1)
14 + (36 + -15t) = 1 + -1(20t + 1)

Combine like terms: 14 + 36 = 50
50 + -15t = 1 + -1(20t + 1)

Reorder the terms:
50 + -15t = 1 + -1(1 + 20t)
50 + -15t = 1 + (1 * -1 + 20t * -1)
50 + -15t = 1 + (-1 + -20t)

Combine like terms: 1 + -1 = 0
50 + -15t = 0 + -20t
50 + -15t = -20t

Solving
50 + -15t = -20t

Solving for variable 't'.

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

Add '20t' to each side of the equation.
50 + -15t + 20t = -20t + 20t

Combine like terms: -15t + 20t = 5t
50 + 5t = -20t + 20t

Combine like terms: -20t + 20t = 0
50 + 5t = 0

Add '-50' to each side of the equation.
50 + -50 + 5t = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 5t = 0 + -50
5t = 0 + -50

Combine like terms: 0 + -50 = -50
5t = -50

Divide each side by '5'.
t = -10

Simplifying
t = -10