a*x+b*x-1=8

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Solution for a*x+b*x-1=8 equation: 


Simplifying
a * x + b * x + -1 = 8

Multiply a * x
ax + b * x + -1 = 8

Multiply b * x
ax + bx + -1 = 8

Reorder the terms:
-1 + ax + bx = 8

Solving
-1 + ax + bx = 8

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + ax + 1 + bx = 8 + 1

Reorder the terms:
-1 + 1 + ax + bx = 8 + 1

Combine like terms: -1 + 1 = 0
0 + ax + bx = 8 + 1
ax + bx = 8 + 1

Combine like terms: 8 + 1 = 9
ax + bx = 9

Add '-1bx' to each side of the equation.
ax + bx + -1bx = 9 + -1bx

Combine like terms: bx + -1bx = 0
ax + 0 = 9 + -1bx
ax = 9 + -1bx

Divide each side by 'x'.
a = 9x-1 + -1b

Simplifying
a = 9x-1 + -1b

Reorder the terms:
a = -1b + 9x-1

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