3(x+2)=1-4(4x+1)

Solution for 3(x+2)=1-4(4x+1) equation:

Simplifying
3(x + 2) = 1 + -4(4x + 1)

Reorder the terms:
3(2 + x) = 1 + -4(4x + 1)
(2 * 3 + x * 3) = 1 + -4(4x + 1)
(6 + 3x) = 1 + -4(4x + 1)

Reorder the terms:
6 + 3x = 1 + -4(1 + 4x)
6 + 3x = 1 + (1 * -4 + 4x * -4)
6 + 3x = 1 + (-4 + -16x)

Combine like terms: 1 + -4 = -3
6 + 3x = -3 + -16x

Solving
6 + 3x = -3 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + 3x + 16x = -3 + -16x + 16x

Combine like terms: 3x + 16x = 19x
6 + 19x = -3 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 19x = -3 + 0
6 + 19x = -3

Add '-6' to each side of the equation.
6 + -6 + 19x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 19x = -3 + -6
19x = -3 + -6

Combine like terms: -3 + -6 = -9
19x = -9

Divide each side by '19'.
x = -0.4736842105

Simplifying
x = -0.4736842105