14-3(2x-12)=1-(20x+1)

Solution for 14-3(2x-12)=1-(20x+1) equation:

Simplifying
14 + -3(2x + -12) = 1 + -1(20x + 1)

Reorder the terms:
14 + -3(-12 + 2x) = 1 + -1(20x + 1)
14 + (-12 * -3 + 2x * -3) = 1 + -1(20x + 1)
14 + (36 + -6x) = 1 + -1(20x + 1)

Combine like terms: 14 + 36 = 50
50 + -6x = 1 + -1(20x + 1)

Reorder the terms:
50 + -6x = 1 + -1(1 + 20x)
50 + -6x = 1 + (1 * -1 + 20x * -1)
50 + -6x = 1 + (-1 + -20x)

Combine like terms: 1 + -1 = 0
50 + -6x = 0 + -20x
50 + -6x = -20x

Solving
50 + -6x = -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
50 + -6x + 20x = -20x + 20x

Combine like terms: -6x + 20x = 14x
50 + 14x = -20x + 20x

Combine like terms: -20x + 20x = 0
50 + 14x = 0

Add '-50' to each side of the equation.
50 + -50 + 14x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 14x = 0 + -50
14x = 0 + -50

Combine like terms: 0 + -50 = -50
14x = -50

Divide each side by '14'.
x = -3.571428571

Simplifying
x = -3.571428571