ax+6=(x+3)

Solution for ax+6=(x+3) equation:

Simplifying
ax + 6 = (x + 3)

Reorder the terms:
6 + ax = (x + 3)

Reorder the terms:
6 + ax = (3 + x)

Remove parenthesis around (3 + x)
6 + ax = 3 + x

Solving
6 + ax = 3 + x

Solving for variable 'a'.

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

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

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

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

Divide each side by 'x'.
a = -3x-1 + 1

Simplifying
a = -3x-1 + 1

Reorder the terms:
a = 1 + -3x-1