6x-(5a+3)=a(x+1)

Solution for 6x-(5a+3)=a(x+1) equation:

Simplifying
6x + -1(5a + 3) = a(x + 1)

Reorder the terms:
6x + -1(3 + 5a) = a(x + 1)
6x + (3 * -1 + 5a * -1) = a(x + 1)
6x + (-3 + -5a) = a(x + 1)

Reorder the terms:
-3 + -5a + 6x = a(x + 1)

Reorder the terms:
-3 + -5a + 6x = a(1 + x)
-3 + -5a + 6x = (1 * a + x * a)
-3 + -5a + 6x = (1a + ax)

Solving
-3 + -5a + 6x = 1a + ax

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.
-3 + -5a + -1a + 6x = 1a + -1a + ax

Combine like terms: -5a + -1a = -6a
-3 + -6a + 6x = 1a + -1a + ax

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

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

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

Add '3' to each side of the equation.
-3 + -6a + -1ax + 3 + 6x = 0 + 3

Reorder the terms:
-3 + 3 + -6a + -1ax + 6x = 0 + 3

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.