4x+3=(-2x)-6

Solution for 4x+3=(-2x)-6 equation:

Simplifying
4x + 3 = (-2x) + -6

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

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

Solving
3 + 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.
3 + 4x + (2x) = -6 + (-2x) + (2x)

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

Combine like terms: (-2x) + (2x) = 0
3 + 6x = -6 + 0
3 + 6x = -6

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

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

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

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5