4x+6=3-5x

Solution for 4x+6=3-5x equation:

Simplifying
4x + 6 = 3 + -5x

Reorder the terms:
6 + 4x = 3 + -5x

Solving
6 + 4x = 3 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 4x + 5x = 3 + -5x + 5x

Combine like terms: 4x + 5x = 9x
6 + 9x = 3 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 9x = 3 + 0
6 + 9x = 3

Add '-6' to each side of the equation.
6 + -6 + 9x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 3 + -6
9x = 3 + -6

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

Divide each side by '9'.
x = -0.3333333333

Simplifying
x = -0.3333333333