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

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

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

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

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

Combine like terms: 3 + 3 = 6
6 + 3x = 2x(-4)

Reorder the terms for easier multiplication:
6 + 3x = 2 * -4x

Multiply 2 * -4
6 + 3x = -8x

Solving
6 + 3x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6 + 3x + 8x = -8x + 8x

Combine like terms: 3x + 8x = 11x
6 + 11x = -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 11x = 0

Add '-6' to each side of the equation.
6 + -6 + 11x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 0 + -6
11x = 0 + -6

Combine like terms: 0 + -6 = -6
11x = -6

Divide each side by '11'.
x = -0.5454545455

Simplifying
x = -0.5454545455