ax+x+3ax-x+4=0

Solution for ax+x+3ax-x+4=0 equation:

Simplifying
ax + x + 3ax + -1x + 4 = 0

Reorder the terms:
4 + ax + 3ax + x + -1x = 0

Combine like terms: ax + 3ax = 4ax
4 + 4ax + x + -1x = 0

Combine like terms: x + -1x = 0
4 + 4ax + 0 = 0
4 + 4ax = 0

Solving
4 + 4ax = 0

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 4ax = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 4ax = 0 + -4
4ax = 0 + -4

Combine like terms: 0 + -4 = -4
4ax = -4

Divide each side by '4x'.
a = -1x-1

Simplifying
a = -1x-1