(8x-5)+(6-7x)-1=7-(x-1)+(ax+4)

Solution for (8x-5)+(6-7x)-1=7-(x-1)+(ax+4) equation:

Simplifying
(8x + -5) + (6 + -7x) + -1 = 7 + -1(x + -1) + (ax + 4)

Reorder the terms:
(-5 + 8x) + (6 + -7x) + -1 = 7 + -1(x + -1) + (ax + 4)

Remove parenthesis around (-5 + 8x)
-5 + 8x + (6 + -7x) + -1 = 7 + -1(x + -1) + (ax + 4)

Remove parenthesis around (6 + -7x)
-5 + 8x + 6 + -7x + -1 = 7 + -1(x + -1) + (ax + 4)

Reorder the terms:
-5 + 6 + -1 + 8x + -7x = 7 + -1(x + -1) + (ax + 4)

Combine like terms: -5 + 6 = 1
1 + -1 + 8x + -7x = 7 + -1(x + -1) + (ax + 4)

Combine like terms: 1 + -1 = 0
0 + 8x + -7x = 7 + -1(x + -1) + (ax + 4)
8x + -7x = 7 + -1(x + -1) + (ax + 4)

Combine like terms: 8x + -7x = 1x
1x = 7 + -1(x + -1) + (ax + 4)

Reorder the terms:
1x = 7 + -1(-1 + x) + (ax + 4)
1x = 7 + (-1 * -1 + x * -1) + (ax + 4)
1x = 7 + (1 + -1x) + (ax + 4)

Reorder the terms:
1x = 7 + 1 + -1x + (4 + ax)

Remove parenthesis around (4 + ax)
1x = 7 + 1 + -1x + 4 + ax

Reorder the terms:
1x = 7 + 1 + 4 + ax + -1x

Combine like terms: 7 + 1 = 8
1x = 8 + 4 + ax + -1x

Combine like terms: 8 + 4 = 12
1x = 12 + ax + -1x

Solving
1x = 12 + ax + -1x

Solving for variable 'x'.

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

Add '-1ax' to each side of the equation.
-1ax + 1x = 12 + ax + -1ax + -1x

Combine like terms: ax + -1ax = 0
-1ax + 1x = 12 + 0 + -1x
-1ax + 1x = 12 + -1x

Add 'x' to each side of the equation.
-1ax + 1x + x = 12 + -1x + x

Combine like terms: 1x + x = 2x
-1ax + 2x = 12 + -1x + x

Combine like terms: -1x + x = 0
-1ax + 2x = 12 + 0
-1ax + 2x = 12

Reorder the terms:
-12 + -1ax + 2x = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -1ax + 2x = 0

The solution to this equation could not be determined.