a(x)+a+d(y)=a+2d

Solution for a(x)+a+d(y)=a+2d equation:

Simplifying
a(x) + a + d(y) = a + 2d

Multiply a * x
ax + a + d(y) = a + 2d

Multiply d * y
ax + a + dy = a + 2d

Reorder the terms:
a + ax + dy = a + 2d

Add '-1a' to each side of the equation.
a + ax + -1a + dy = a + -1a + 2d

Reorder the terms:
a + -1a + ax + dy = a + -1a + 2d

Combine like terms: a + -1a = 0
0 + ax + dy = a + -1a + 2d
ax + dy = a + -1a + 2d

Combine like terms: a + -1a = 0
ax + dy = 0 + 2d
ax + dy = 2d

Solving
ax + dy = 2d

Solving for variable 'a'.

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

Add '-1dy' to each side of the equation.
ax + dy + -1dy = 2d + -1dy

Combine like terms: dy + -1dy = 0
ax + 0 = 2d + -1dy
ax = 2d + -1dy

Divide each side by 'x'.
a = 2dx-1 + -1dx-1y

Simplifying
a = 2dx-1 + -1dx-1y