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

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

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

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

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

Solving
1 + 4x = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + 4x + 2x = -6 + -2x + 2x

Combine like terms: 4x + 2x = 6x
1 + 6x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 6x = -6 + 0
1 + 6x = -6

Add '-1' to each side of the equation.
1 + -1 + 6x = -6 + -1

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

Combine like terms: -6 + -1 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667