5(2a+1)-4(a-2)=b(a+4)+16

Solution for 5(2a+1)-4(a-2)=b(a+4)+16 equation:

Simplifying
5(2a + 1) + -4(a + -2) = b(a + 4) + 16

Reorder the terms:
5(1 + 2a) + -4(a + -2) = b(a + 4) + 16
(1 * 5 + 2a * 5) + -4(a + -2) = b(a + 4) + 16
(5 + 10a) + -4(a + -2) = b(a + 4) + 16

Reorder the terms:
5 + 10a + -4(-2 + a) = b(a + 4) + 16
5 + 10a + (-2 * -4 + a * -4) = b(a + 4) + 16
5 + 10a + (8 + -4a) = b(a + 4) + 16

Reorder the terms:
5 + 8 + 10a + -4a = b(a + 4) + 16

Combine like terms: 5 + 8 = 13
13 + 10a + -4a = b(a + 4) + 16

Combine like terms: 10a + -4a = 6a
13 + 6a = b(a + 4) + 16

Reorder the terms:
13 + 6a = b(4 + a) + 16
13 + 6a = (4 * b + a * b) + 16

Reorder the terms:
13 + 6a = (ab + 4b) + 16
13 + 6a = (ab + 4b) + 16

Reorder the terms:
13 + 6a = 16 + ab + 4b

Solving
13 + 6a = 16 + ab + 4b

Solving for variable 'a'.

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

Add '-1ab' to each side of the equation.
13 + 6a + -1ab = 16 + ab + -1ab + 4b

Combine like terms: ab + -1ab = 0
13 + 6a + -1ab = 16 + 0 + 4b
13 + 6a + -1ab = 16 + 4b

Add '-13' to each side of the equation.
13 + 6a + -13 + -1ab = 16 + -13 + 4b

Reorder the terms:
13 + -13 + 6a + -1ab = 16 + -13 + 4b

Combine like terms: 13 + -13 = 0
0 + 6a + -1ab = 16 + -13 + 4b
6a + -1ab = 16 + -13 + 4b

Combine like terms: 16 + -13 = 3
6a + -1ab = 3 + 4b

Reorder the terms:
-3 + 6a + -1ab + -4b = 3 + 4b + -3 + -4b

Reorder the terms:
-3 + 6a + -1ab + -4b = 3 + -3 + 4b + -4b

Combine like terms: 3 + -3 = 0
-3 + 6a + -1ab + -4b = 0 + 4b + -4b
-3 + 6a + -1ab + -4b = 4b + -4b

Combine like terms: 4b + -4b = 0
-3 + 6a + -1ab + -4b = 0

The solution to this equation could not be determined.