ax+6=2(x+3)

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

Simplifying
ax + 6 = 2(x + 3)

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

Reorder the terms:
6 + ax = 2(3 + x)
6 + ax = (3 * 2 + x * 2)
6 + ax = (6 + 2x)

Add '-6' to each side of the equation.
6 + -6 + ax = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + ax = 6 + -6 + 2x
ax = 6 + -6 + 2x

Combine like terms: 6 + -6 = 0
ax = 0 + 2x
ax = 2x

Solving
ax = 2x

Solving for variable 'a'.

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

Divide each side by 'x'.
a = 2

Simplifying
a = 2