6+ax=7-bx

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Solution for 6+ax=7-bx equation: 


Simplifying
6 + ax = 7 + -1bx

Solving
6 + ax = 7 + -1bx

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + ax = 7 + -6 + -1bx

Combine like terms: 6 + -6 = 0
0 + ax = 7 + -6 + -1bx
ax = 7 + -6 + -1bx

Combine like terms: 7 + -6 = 1
ax = 1 + -1bx

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

Simplifying
a = x-1 + -1b

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

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