6x+a+2ax+3=(3+a)(2x+1)

Solution for 6x+a+2ax+3=(3+a)(2x+1) equation:

Simplifying
6x + a + 2ax + 3 = (3 + a)(2x + 1)

Reorder the terms:
3 + a + 2ax + 6x = (3 + a)(2x + 1)

Reorder the terms:
3 + a + 2ax + 6x = (3 + a)(1 + 2x)

Multiply (3 + a) * (1 + 2x)
3 + a + 2ax + 6x = (3(1 + 2x) + a(1 + 2x))
3 + a + 2ax + 6x = ((1 * 3 + 2x * 3) + a(1 + 2x))
3 + a + 2ax + 6x = ((3 + 6x) + a(1 + 2x))
3 + a + 2ax + 6x = (3 + 6x + (1 * a + 2x * a))
3 + a + 2ax + 6x = (3 + 6x + (1a + 2ax))

Reorder the terms:
3 + a + 2ax + 6x = (3 + 1a + 2ax + 6x)
3 + a + 2ax + 6x = (3 + 1a + 2ax + 6x)

Add '-3' to each side of the equation.
3 + a + 2ax + -3 + 6x = 3 + 1a + 2ax + -3 + 6x

Reorder the terms:
3 + -3 + a + 2ax + 6x = 3 + 1a + 2ax + -3 + 6x

Combine like terms: 3 + -3 = 0
0 + a + 2ax + 6x = 3 + 1a + 2ax + -3 + 6x
a + 2ax + 6x = 3 + 1a + 2ax + -3 + 6x

Reorder the terms:
a + 2ax + 6x = 3 + -3 + 1a + 2ax + 6x

Combine like terms: 3 + -3 = 0
a + 2ax + 6x = 0 + 1a + 2ax + 6x
a + 2ax + 6x = 1a + 2ax + 6x

Add '-2ax' to each side of the equation.
a + 2ax + -2ax + 6x = 1a + 2ax + -2ax + 6x

Combine like terms: 2ax + -2ax = 0
a + 0 + 6x = 1a + 2ax + -2ax + 6x
a + 6x = 1a + 2ax + -2ax + 6x

Combine like terms: 2ax + -2ax = 0
a + 6x = 1a + 0 + 6x
a + 6x = 1a + 6x

Add '-6x' to each side of the equation.
a + 6x + -6x = 1a + 6x + -6x

Combine like terms: 6x + -6x = 0
a + 0 = 1a + 6x + -6x
a = 1a + 6x + -6x

Combine like terms: 6x + -6x = 0
a = 1a + 0
a = 1a

Solving
a = 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
a + -1a = 1a + -1a

Combine like terms: a + -1a = 0
0 = 1a + -1a

Combine like terms: 1a + -1a = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.