14-3(5t-12)=1-(2t+1)

Solution for 14-3(5t-12)=1-(2t+1) equation:

Simplifying
14 + -3(5t + -12) = 1 + -1(2t + 1)

Reorder the terms:
14 + -3(-12 + 5t) = 1 + -1(2t + 1)
14 + (-12 * -3 + 5t * -3) = 1 + -1(2t + 1)
14 + (36 + -15t) = 1 + -1(2t + 1)

Combine like terms: 14 + 36 = 50
50 + -15t = 1 + -1(2t + 1)

Reorder the terms:
50 + -15t = 1 + -1(1 + 2t)
50 + -15t = 1 + (1 * -1 + 2t * -1)
50 + -15t = 1 + (-1 + -2t)

Combine like terms: 1 + -1 = 0
50 + -15t = 0 + -2t
50 + -15t = -2t

Solving
50 + -15t = -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.
50 + -15t + 2t = -2t + 2t

Combine like terms: -15t + 2t = -13t
50 + -13t = -2t + 2t

Combine like terms: -2t + 2t = 0
50 + -13t = 0

Add '-50' to each side of the equation.
50 + -50 + -13t = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -13t = 0 + -50
-13t = 0 + -50

Combine like terms: 0 + -50 = -50
-13t = -50

Divide each side by '-13'.
t = 3.846153846

Simplifying
t = 3.846153846