2x+6=4x(-2)

Solution for 2x+6=4x(-2) equation:

Simplifying
2x + 6 = 4x(-2)

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

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

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

Solving
6 + 2x = -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 + 2x + 8x = -8x + 8x

Combine like terms: 2x + 8x = 10x
6 + 10x = -8x + 8x

Combine like terms: -8x + 8x = 0
6 + 10x = 0

Add '-6' to each side of the equation.
6 + -6 + 10x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 10x = 0 + -6
10x = 0 + -6

Combine like terms: 0 + -6 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6