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

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

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

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

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

Combine like terms: 20 + 1 = 21
50 + -15t = 1 + -1(21)

Multiply -1 * 21
50 + -15t = 1 + -21

Combine like terms: 1 + -21 = -20
50 + -15t = -20

Solving
50 + -15t = -20

Solving for variable 't'.

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

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

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

Combine like terms: -20 + -50 = -70
-15t = -70

Divide each side by '-15'.
t = 4.666666667

Simplifying
t = 4.666666667